879225984 has 192 divisors, whose sum is σ = 3114296640. Its totient is φ = 231856128.

The previous prime is 879225967. The next prime is 879226021. The reversal of 879225984 is 489522978.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 879225984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100639 + ... + 109025.

It is an arithmetic number, because the mean of its divisors is an integer number (16220295).

Almost surely, 2^879225984 is an apocalyptic number.

879225984 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 879225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557148320).

879225984 is an abundant number, since it is smaller than the sum of its proper divisors (2235070656).

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

879225984 is a wasteful number, since it uses less digits than its factorization.

879225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8412 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 879225984 is about 29651.7450413968. The cubic root of 879225984 is about 958.0029317542.

The spelling of 879225984 in words is "eight hundred seventy-nine million, two hundred twenty-five thousand, nine hundred eighty-four".