875624904 has 480 divisors, whose sum is σ = 3277454400. Its totient is φ = 215550720.

The previous prime is 875624903. The next prime is 875624929. The reversal of 875624904 is 409426578.

It is a happy number.

875624904 is a `hidden beast` number, since 87 + 562 + 4 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 875624904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875624903) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8033202 + ... + 8033310.

It is an arithmetic number, because the mean of its divisors is an integer number (6828030).

Almost surely, 2^875624904 is an apocalyptic number.

875624904 is a gapful number since it is divisible by the number (84) 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 875624904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638727200).

875624904 is an abundant number, since it is smaller than the sum of its proper divisors (2401829496).

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

875624904 is a wasteful number, since it uses less digits than its factorization.

875624904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 875624904 is about 29590.9598357336. The cubic root of 875624904 is about 956.6932321263.

The spelling of 875624904 in words is "eight hundred seventy-five million, six hundred twenty-four thousand, nine hundred four".