879078965760 has 480 divisors, whose sum is σ = 3089623680000. Its totient is φ = 230971834368.

The previous prime is 879078965759. The next prime is 879078965789. The reversal of 879078965760 is 67569870978.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499759761 + ... + 499761519.

It is an arithmetic number, because the mean of its divisors is an integer number (6436716000).

Almost surely, 2^879078965760 is an apocalyptic number.

879078965760 is a gapful number since it is divisible by the number (80) 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 879078965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544811840000).

879078965760 is an abundant number, since it is smaller than the sum of its proper divisors (2210544714240).

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

879078965760 is a wasteful number, since it uses less digits than its factorization.

879078965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 879078965760 in words is "eight hundred seventy-nine billion, seventy-eight million, nine hundred sixty-five thousand, seven hundred sixty".