879768864 has 192 divisors, whose sum is σ = 2800385280. Its totient is φ = 270418176.

The previous prime is 879768833. The next prime is 879768899. The reversal of 879768864 is 468867978.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909309 + ... + 910275.

It is an arithmetic number, because the mean of its divisors is an integer number (14585340).

Almost surely, 2^879768864 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 879768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400192640).

879768864 is an abundant number, since it is smaller than the sum of its proper divisors (1920616416).

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

879768864 is an equidigital number, since it uses as much as digits as its factorization.

879768864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 985 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 879768864 is about 29660.8978960516. The cubic root of 879768864 is about 958.2000648523.

The spelling of 879768864 in words is "eight hundred seventy-nine million, seven hundred sixty-eight thousand, eight hundred sixty-four".