876318912 has 560 divisors, whose sum is σ = 3304519680. Its totient is φ = 223948800.

The previous prime is 876318899. The next prime is 876318977. The reversal of 876318912 is 219813678.

876318912 is a `hidden beast` number, since 8 + 7 + 631 + 8 + 9 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21373612 + ... + 21373652.

It is an arithmetic number, because the mean of its divisors is an integer number (5900928).

Almost surely, 2^876318912 is an apocalyptic number.

876318912 is a gapful number since it is divisible by the number (82) 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 876318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652259840).

876318912 is an abundant number, since it is smaller than the sum of its proper divisors (2428200768).

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

876318912 is a wasteful number, since it uses less digits than its factorization.

876318912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 876318912 is about 29602.6842026192. The cubic root of 876318912 is about 956.9459192521.

The spelling of 876318912 in words is "eight hundred seventy-six million, three hundred eighteen thousand, nine hundred twelve".