870815904 has 192 divisors, whose sum is σ = 2771112960. Its totient is φ = 233902080.

The previous prime is 870815879. The next prime is 870815929. The reversal of 870815904 is 409518078.

870815904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (870815879) and next prime (870815929).

It is a hoax number, since the sum of its digits (42) 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 (42).

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, 3076947 + ... + 3077229.

It is an arithmetic number, because the mean of its divisors is an integer number (14432880).

Almost surely, 2^870815904 is an apocalyptic number.

870815904 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 870815904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385556480).

870815904 is an abundant number, since it is smaller than the sum of its proper divisors (1900297056).

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

870815904 is a wasteful number, since it uses less digits than its factorization.

870815904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 870815904 is about 29509.5900344278. The cubic root of 870815904 is about 954.9386048266.

The spelling of 870815904 in words is "eight hundred seventy million, eight hundred fifteen thousand, nine hundred four".