7864

7864 is a natural number that follows 7863 and precedes 7865. It is an even and composite integer, with a prime factorization of 2^3 × 983, where 983 is a prime number.

As a result, 7864 has eight divisors: 1, 2, 4, 8, 983, 1966, 3932, and 7864. The sum of its divisors is 14,760. The digital sum of 7864 is 7 + 8 + 6 + 4 = 25, which reduces to a digital root of 7. The number is not a multiple of 3 or 9 and is not a perfect square or a prime; it is divisible by 8 due to the 2^3 factor.

In base representations, 7864 can be expressed in binary as 1111010111000, reflecting its composition from powers of two.

Beyond pure mathematics, 7864 may appear as an identifier in catalogs, model numbers, or other systems that use four-digit numeric codes. There is no widely recognized historical event or prominent mathematical special property uniquely associated with the number 7864, aside from its stated arithmetic characteristics.