diff --git a/include/cuco/detail/open_addressing_impl.cuh b/include/cuco/detail/open_addressing_impl.cuh
index 70f0df5fe..8bbdcdfbf 100644
--- a/include/cuco/detail/open_addressing_impl.cuh
+++ b/include/cuco/detail/open_addressing_impl.cuh
@@ -136,13 +136,13 @@ class open_addressing_impl {
   }
 
   /**
-   * @brief Constructs a statically-sized open addressing data structure with the specified initial
-   * capacity, sentinel values and CUDA stream.
+   * @brief Constructs a statically-sized open addressing data structure with the number of elements
+   * to insert, sentinel values, the desired load factor and CUDA stream
    *
-   * @note The actual capacity depends on the given `capacity`, the probing scheme, CG size, and the
-   * window size and it is computed via the `make_window_extent` factory. Insert operations will not
-   * automatically grow the container. Attempting to insert more unique keys than the capacity of
-   * the container results in undefined behavior.
+   * @note The actual capacity depends on the given `n`, the probing scheme, CG size, the desired
+   * load factor and the window size and it is computed via the `make_window_extent` factory. Insert
+   * operations will not automatically grow the container. Attempting to insert more unique keys
+   * than the capacity of the container results in undefined behavior.
    * @note Any `*_sentinel`s are reserved and behavior is undefined when attempting to insert
    * this sentinel value.
    * @note If a non-default CUDA stream is provided, the caller is responsible for synchronizing the
@@ -152,19 +152,20 @@ class open_addressing_impl {
    * @throw If the desired occupancy is no bigger than zero
    * @throw If the desired occupancy is larger than one
    *
-   * @param capacity The requested lower-bound size
+   * @param n The number of elements to insert
+   * @param desired_load_factor The desired load factor of the container, e.g., 0.5 implies a 50%
+   * load factor
    * @param empty_key_sentinel The reserved key value for empty slots
    * @param empty_slot_sentinel The reserved slot value for empty slots
-   * @param desired_load_factor The desired load factor of the container
    * @param pred Key equality binary predicate
    * @param probing_scheme Probing scheme
    * @param alloc Allocator used for allocating device storage
    * @param stream CUDA stream used to initialize the data structure
    */
-  constexpr open_addressing_impl(Extent capacity,
+  constexpr open_addressing_impl(Extent n,
+                                 double desired_load_factor,
                                  Key empty_key_sentinel,
                                  Value empty_slot_sentinel,
-                                 double desired_load_factor,
                                  KeyEqual const& pred,
                                  ProbingScheme const& probing_scheme,
                                  Allocator const& alloc,
@@ -174,7 +175,7 @@ class open_addressing_impl {
       predicate_{pred},
       probing_scheme_{probing_scheme},
       storage_{make_window_extent<open_addressing_impl>(
-                 static_cast<size_type>(static_cast<double>(capacity) / desired_load_factor)),
+                 static_cast<size_type>(static_cast<double>(n) / desired_load_factor)),
                alloc}
   {
     CUCO_EXPECTS(desired_load_factor > 0., "Desired occupancy must be larger than zero");
diff --git a/include/cuco/detail/static_map/static_map.inl b/include/cuco/detail/static_map/static_map.inl
index d7274245e..1cc932aeb 100644
--- a/include/cuco/detail/static_map/static_map.inl
+++ b/include/cuco/detail/static_map/static_map.inl
@@ -54,6 +54,35 @@ constexpr static_map<Key, T, Extent, Scope, KeyEqual, ProbingScheme, Allocator,
 {
 }
 
+template <class Key,
+          class T,
+          class Extent,
+          cuda::thread_scope Scope,
+          class KeyEqual,
+          class ProbingScheme,
+          class Allocator,
+          class Storage>
+constexpr static_map<Key, T, Extent, Scope, KeyEqual, ProbingScheme, Allocator, Storage>::
+  static_map(Extent n,
+             double desired_load_factor,
+             empty_key<Key> empty_key_sentinel,
+             empty_value<T> empty_value_sentinel,
+             KeyEqual const& pred,
+             ProbingScheme const& probing_scheme,
+             Allocator const& alloc,
+             cuda_stream_ref stream)
+  : impl_{std::make_unique<impl_type>(n,
+                                      desired_load_factor,
+                                      empty_key_sentinel,
+                                      cuco::pair{empty_key_sentinel, empty_value_sentinel},
+                                      pred,
+                                      probing_scheme,
+                                      alloc,
+                                      stream)},
+    empty_value_sentinel_{empty_value_sentinel}
+{
+}
+
 template <class Key,
           class T,
           class Extent,
diff --git a/include/cuco/detail/static_set/static_set.inl b/include/cuco/detail/static_set/static_set.inl
index 4898f3055..888f0d67c 100644
--- a/include/cuco/detail/static_set/static_set.inl
+++ b/include/cuco/detail/static_set/static_set.inl
@@ -46,6 +46,32 @@ constexpr static_set<Key, Extent, Scope, KeyEqual, ProbingScheme, Allocator, Sto
 {
 }
 
+template <class Key,
+          class Extent,
+          cuda::thread_scope Scope,
+          class KeyEqual,
+          class ProbingScheme,
+          class Allocator,
+          class Storage>
+constexpr static_set<Key, Extent, Scope, KeyEqual, ProbingScheme, Allocator, Storage>::static_set(
+  Extent n,
+  double desired_load_factor,
+  empty_key<Key> empty_key_sentinel,
+  KeyEqual const& pred,
+  ProbingScheme const& probing_scheme,
+  Allocator const& alloc,
+  cuda_stream_ref stream)
+  : impl_{std::make_unique<impl_type>(n,
+                                      desired_load_factor,
+                                      empty_key_sentinel,
+                                      empty_key_sentinel,
+                                      pred,
+                                      probing_scheme,
+                                      alloc,
+                                      stream)}
+{
+}
+
 template <class Key,
           class Extent,
           cuda::thread_scope Scope,
diff --git a/include/cuco/static_map.cuh b/include/cuco/static_map.cuh
index f23fb5045..ac0097d29 100644
--- a/include/cuco/static_map.cuh
+++ b/include/cuco/static_map.cuh
@@ -156,7 +156,7 @@ class static_map {
 
   /**
    * @brief Constructs a statically-sized map with the specified initial capacity, sentinel values
-   * and CUDA stream.
+   * and CUDA stream
    *
    * The actual map capacity depends on the given `capacity`, the probing scheme, CG size, and the
    * window size and it is computed via the `make_window_extent` factory. Insert operations will not
@@ -184,6 +184,39 @@ class static_map {
                        Allocator const& alloc              = {},
                        cuda_stream_ref stream              = {});
 
+  /**
+   * @brief Constructs a statically-sized map with the number of elements to insert, sentinel
+   * values, the desired load factor, and CUDA stream
+   *
+   * The actual map capacity depends on the given `n`, the probing scheme, CG size, the desired load
+   * factor and the window size and it is computed via the `make_window_extent` factory. Insert
+   * operations will not automatically grow the map. Attempting to insert more unique keys than the
+   * capacity of the map results in undefined behavior.
+   *
+   * @note Any `*_sentinel`s are reserved and behavior is undefined when attempting to insert
+   * this sentinel value.
+   * @note If a non-default CUDA stream is provided, the caller is responsible for synchronizing the
+   * stream before the object is first used.
+   *
+   * @param n The number of elements to insert
+   * @param desired_load_factor The desired load factor of the container, e.g., 0.5 implies a 50%
+   * load factor
+   * @param empty_key_sentinel The reserved key value for empty slots
+   * @param empty_value_sentinel The reserved mapped value for empty slots
+   * @param pred Key equality binary predicate
+   * @param probing_scheme Probing scheme
+   * @param alloc Allocator used for allocating device storage
+   * @param stream CUDA stream used to initialize the map
+   */
+  constexpr static_map(Extent n,
+                       double desired_load_factor,
+                       empty_key<Key> empty_key_sentinel,
+                       empty_value<T> empty_value_sentinel,
+                       KeyEqual const& pred                = {},
+                       ProbingScheme const& probing_scheme = {},
+                       Allocator const& alloc              = {},
+                       cuda_stream_ref stream              = {});
+
   /**
    * @brief Erases all elements from the container. After this call, `size()` returns zero.
    * Invalidates any references, pointers, or iterators referring to contained elements.
diff --git a/include/cuco/static_set.cuh b/include/cuco/static_set.cuh
index 613a99bd4..50b7635be 100644
--- a/include/cuco/static_set.cuh
+++ b/include/cuco/static_set.cuh
@@ -131,7 +131,7 @@ class static_set {
 
   /**
    * @brief Constructs a statically-sized set with the specified initial capacity, sentinel values
-   * and CUDA stream.
+   * and CUDA stream
    *
    * The actual set capacity depends on the given `capacity`, the probing scheme, CG size, and the
    * window size and it is computed via the `make_window_extent` factory. Insert operations will not
@@ -157,6 +157,37 @@ class static_set {
                        Allocator const& alloc              = {},
                        cuda_stream_ref stream              = {});
 
+  /**
+   * @brief Constructs a statically-sized set with the specified initial capacity, sentinel values,
+   * the desired load factor, and CUDA stream
+   *
+   * The actual set capacity depends on the given `n`, the probing scheme, CG size, the desired load
+   * factor and the window size and it is computed via the `make_window_extent` factory. Insert
+   * operations will not automatically grow the set. Attempting to insert more unique keys than the
+   * capacity of the map results in undefined behavior.
+   *
+   * @note Any `*_sentinel`s are reserved and behavior is undefined when attempting to insert
+   * this sentinel value.
+   * @note If a non-default CUDA stream is provided, the caller is responsible for synchronizing the
+   * stream before the object is first used.
+   *
+   * @param n The number of elements to insert
+   * @param desired_load_factor The desired load factor of the container, e.g., 0.5 implies a 50%
+   * load factor
+   * @param empty_key_sentinel The reserved key value for empty slots
+   * @param pred Key equality binary predicate
+   * @param probing_scheme Probing scheme
+   * @param alloc Allocator used for allocating device storage
+   * @param stream CUDA stream used to initialize the set
+   */
+  constexpr static_set(Extent n,
+                       double desired_load_factor,
+                       empty_key<Key> empty_key_sentinel,
+                       KeyEqual const& pred                = {},
+                       ProbingScheme const& probing_scheme = {},
+                       Allocator const& alloc              = {},
+                       cuda_stream_ref stream              = {});
+
   /**
    * @brief Erases all elements from the container. After this call, `size()` returns zero.
    * Invalidates any references, pointers, or iterators referring to contained elements.
diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt
index 3deeeddf1..775b5b82f 100644
--- a/tests/CMakeLists.txt
+++ b/tests/CMakeLists.txt
@@ -69,6 +69,7 @@ ConfigureTest(STATIC_SET_TEST
 ###################################################################################################
 # - static_map tests ------------------------------------------------------------------------------
 ConfigureTest(STATIC_MAP_TEST
+    static_map/capacity_test.cu
     static_map/custom_type_test.cu
     static_map/duplicate_keys_test.cu
     static_map/erase_test.cu
diff --git a/tests/static_map/capacity_test.cu b/tests/static_map/capacity_test.cu
new file mode 100644
index 000000000..13774fe8a
--- /dev/null
+++ b/tests/static_map/capacity_test.cu
@@ -0,0 +1,162 @@
+/*
+ * Copyright (c) 2023, NVIDIA CORPORATION.
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <cuco/static_map.cuh>
+
+#include <catch2/catch_test_macros.hpp>
+
+TEST_CASE("Static map capacity", "")
+{
+  using Key        = int32_t;
+  using T          = int32_t;
+  using ProbeT     = cuco::experimental::double_hashing<1, cuco::default_hash_function<Key>>;
+  using Equal      = thrust::equal_to<Key>;
+  using AllocatorT = cuco::cuda_allocator<std::byte>;
+  using StorageT   = cuco::experimental::storage<2>;
+
+  SECTION("zero capacity is allowed.")
+  {
+    auto constexpr gold_capacity = 4;
+
+    using extent_type = cuco::experimental::extent<std::size_t, 0>;
+    cuco::experimental::static_map<Key,
+                                   T,
+                                   extent_type,
+                                   cuda::thread_scope_device,
+                                   Equal,
+                                   ProbeT,
+                                   AllocatorT,
+                                   StorageT>
+      map{extent_type{}, cuco::empty_key<Key>{-1}, cuco::empty_value<T>{-1}};
+    auto const capacity = map.capacity();
+    REQUIRE(capacity == gold_capacity);
+
+    auto ref                = map.ref(cuco::experimental::insert);
+    auto const ref_capacity = ref.capacity();
+    REQUIRE(ref_capacity == gold_capacity);
+  }
+
+  SECTION("negative capacity (ikr -_-||) is also allowed.")
+  {
+    auto constexpr gold_capacity = 4;
+
+    using extent_type = cuco::experimental::extent<int32_t>;
+    cuco::experimental::static_map<Key,
+                                   T,
+                                   extent_type,
+                                   cuda::thread_scope_device,
+                                   Equal,
+                                   ProbeT,
+                                   AllocatorT,
+                                   StorageT>
+      map{extent_type{-10}, cuco::empty_key<Key>{-1}, cuco::empty_value<T>{-1}};
+    auto const capacity = map.capacity();
+    REQUIRE(capacity == gold_capacity);
+
+    auto ref                = map.ref(cuco::experimental::insert);
+    auto const ref_capacity = ref.capacity();
+    REQUIRE(ref_capacity == gold_capacity);
+  }
+
+  constexpr std::size_t num_keys{400};
+
+  SECTION("Dynamic extent is evaluated at run time.")
+  {
+    auto constexpr gold_capacity = 422;  // 211 x 2
+
+    using extent_type = cuco::experimental::extent<std::size_t>;
+    cuco::experimental::static_map<Key,
+                                   T,
+                                   extent_type,
+                                   cuda::thread_scope_device,
+                                   Equal,
+                                   ProbeT,
+                                   AllocatorT,
+                                   StorageT>
+      map{num_keys, cuco::empty_key<Key>{-1}, cuco::empty_value<T>{-1}};
+    auto const capacity = map.capacity();
+    REQUIRE(capacity == gold_capacity);
+
+    auto ref                = map.ref(cuco::experimental::insert);
+    auto const ref_capacity = ref.capacity();
+    REQUIRE(ref_capacity == gold_capacity);
+  }
+
+  SECTION("map can be constructed from plain integer.")
+  {
+    auto constexpr gold_capacity = 422;  // 211 x 2
+
+    cuco::experimental::static_map<Key,
+                                   T,
+                                   std::size_t,
+                                   cuda::thread_scope_device,
+                                   Equal,
+                                   ProbeT,
+                                   AllocatorT,
+                                   StorageT>
+      map{num_keys, cuco::empty_key<Key>{-1}, cuco::empty_value<T>{-1}};
+    auto const capacity = map.capacity();
+    REQUIRE(capacity == gold_capacity);
+
+    auto ref                = map.ref(cuco::experimental::insert);
+    auto const ref_capacity = ref.capacity();
+    REQUIRE(ref_capacity == gold_capacity);
+  }
+
+  SECTION("map can be constructed from plain integer and load factor.")
+  {
+    auto constexpr gold_capacity = 502;  // 251 x 2
+
+    cuco::experimental::static_map<Key,
+                                   T,
+                                   std::size_t,
+                                   cuda::thread_scope_device,
+                                   Equal,
+                                   ProbeT,
+                                   AllocatorT,
+                                   StorageT>
+      map{num_keys, 0.8, cuco::empty_key<Key>{-1}, cuco::empty_value<T>{-1}};
+    auto const capacity = map.capacity();
+    REQUIRE(capacity == gold_capacity);
+
+    auto ref                = map.ref(cuco::experimental::insert);
+    auto const ref_capacity = ref.capacity();
+    REQUIRE(ref_capacity == gold_capacity);
+  }
+
+  SECTION("Dynamic extent is evaluated at run time.")
+  {
+    auto constexpr gold_capacity = 412;  // 103 x 2 x 2
+
+    using probe = cuco::experimental::linear_probing<2, cuco::default_hash_function<Key>>;
+    auto map    = cuco::experimental::static_map<Key,
+                                              T,
+                                              cuco::experimental::extent<std::size_t>,
+                                              cuda::thread_scope_device,
+                                              Equal,
+                                              probe,
+                                              AllocatorT,
+                                              StorageT>{
+      num_keys, cuco::empty_key<Key>{-1}, cuco::empty_value<T>{-1}};
+
+    auto const capacity = map.capacity();
+    REQUIRE(capacity == gold_capacity);
+
+    auto ref                = map.ref(cuco::experimental::insert);
+    auto const ref_capacity = ref.capacity();
+    REQUIRE(ref_capacity == gold_capacity);
+  }
+}
diff --git a/tests/static_set/capacity_test.cu b/tests/static_set/capacity_test.cu
index 4c66a7ccc..f042cdb73 100644
--- a/tests/static_set/capacity_test.cu
+++ b/tests/static_set/capacity_test.cu
@@ -76,6 +76,36 @@ TEST_CASE("Static set capacity", "")
     REQUIRE(ref_capacity == gold_capacity);
   }
 
+  SECTION("Set can be constructed from plain integer.")
+  {
+    auto constexpr gold_capacity = 422;  // 211 x 2
+
+    cuco::experimental::
+      static_set<Key, std::size_t, cuda::thread_scope_device, Equal, ProbeT, AllocatorT, StorageT>
+        set{num_keys, cuco::empty_key<Key>{-1}};
+    auto const capacity = set.capacity();
+    REQUIRE(capacity == gold_capacity);
+
+    auto ref                = set.ref(cuco::experimental::insert);
+    auto const ref_capacity = ref.capacity();
+    REQUIRE(ref_capacity == gold_capacity);
+  }
+
+  SECTION("Set can be constructed from plain integer and load factor.")
+  {
+    auto constexpr gold_capacity = 502;  // 251 x 2
+
+    cuco::experimental::
+      static_set<Key, std::size_t, cuda::thread_scope_device, Equal, ProbeT, AllocatorT, StorageT>
+        set{num_keys, 0.8, cuco::empty_key<Key>{-1}};
+    auto const capacity = set.capacity();
+    REQUIRE(capacity == gold_capacity);
+
+    auto ref                = set.ref(cuco::experimental::insert);
+    auto const ref_capacity = ref.capacity();
+    REQUIRE(ref_capacity == gold_capacity);
+  }
+
   SECTION("Dynamic extent is evaluated at run time.")
   {
     auto constexpr gold_capacity = 412;  // 103 x 2 x 2