879112168704 has 1440 divisors, whose sum is σ = 3507808147200. Its totient is φ = 211965050880.

The previous prime is 879112168679. The next prime is 879112168751. The reversal of 879112168704 is 407861211978.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12042632412 + ... + 12042632484.

It is an arithmetic number, because the mean of its divisors is an integer number (2435977880).

Almost surely, 2^879112168704 is an apocalyptic number.

879112168704 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 879112168704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753904073600).

879112168704 is an abundant number, since it is smaller than the sum of its proper divisors (2628695978496).

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

879112168704 is an equidigital number, since it uses as much as digits as its factorization.

879112168704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 879112168704 in words is "eight hundred seventy-nine billion, one hundred twelve million, one hundred sixty-eight thousand, seven hundred four".