879015984 has 320 divisors, whose sum is σ = 2999808000. Its totient is φ = 215147520.

The previous prime is 879015983. The next prime is 879016027. The reversal of 879015984 is 489510978.

It is not an unprimeable number, because it can be changed into a prime (879015983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6323787 + ... + 6323925.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^879015984 is an apocalyptic number.

879015984 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 879015984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

879015984 is an abundant number, since it is smaller than the sum of its proper divisors (2120792016).

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

879015984 is a wasteful number, since it uses less digits than its factorization.

879015984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 879015984 is about 29648.2037229914. The cubic root of 879015984 is about 957.9266538163.

The spelling of 879015984 in words is "eight hundred seventy-nine million, fifteen thousand, nine hundred eighty-four".