875664000 has 256 divisors, whose sum is σ = 3226953600. Its totient is φ = 233395200.

The previous prime is 875663989. The next prime is 875664047. The reversal of 875664000 is 466578.

It is a happy number.

875664000 is a `hidden beast` number, since 8 + 7 + 5 + 6 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430987 + ... + 433013.

Almost surely, 2^875664000 is an apocalyptic number.

875664000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613476800).

875664000 is an abundant number, since it is smaller than the sum of its proper divisors (2351289600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

875664000 is a wasteful number, since it uses less digits than its factorization.

875664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 875664000 is about 29591.6204355219. The cubic root of 875664000 is about 956.7074704613.

The spelling of 875664000 in words is "eight hundred seventy-five million, six hundred sixty-four thousand".