875116008 has 128 divisors (see below), whose sum is σ = 2688940800. Its totient is φ = 261957888.

The previous prime is 875115973. The next prime is 875116009. The reversal of 875116008 is 800611578.

875116008 is a `hidden beast` number, since 87 + 511 + 60 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (875116009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99685 + ... + 108107.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^875116008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875116008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344470400).

875116008 is an abundant number, since it is smaller than the sum of its proper divisors (1813824792).

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

875116008 is a wasteful number, since it uses less digits than its factorization.

875116008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 875116008 is about 29582.3597436040. The cubic root of 875116008 is about 956.5078591032.

The spelling of 875116008 in words is "eight hundred seventy-five million, one hundred sixteen thousand, eight".