879559920 has 120 divisors (see below), whose sum is σ = 2998107216. Its totient is φ = 231035904.

The previous prime is 879559897. The next prime is 879559939. The reversal of 879559920 is 29955978.

879559920 is a `hidden beast` number, since 87 + 9 + 559 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39124 + ... + 57356.

Almost surely, 2^879559920 is an apocalyptic number.

879559920 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 879559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499053608).

879559920 is an abundant number, since it is smaller than the sum of its proper divisors (2118547296).

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

879559920 is a wasteful number, since it uses less digits than its factorization.

879559920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18319 (or 18310 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The square root of 879559920 is about 29657.3754739019. The cubic root of 879559920 is about 958.1242017423.

The spelling of 879559920 in words is "eight hundred seventy-nine million, five hundred fifty-nine thousand, nine hundred twenty".