879691920 has 80 divisors (see below), whose sum is σ = 2742413760. Its totient is φ = 233262592.

The previous prime is 879691913. The next prime is 879691949. The reversal of 879691920 is 29196978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×879691920² = 1547715748226572800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32722 + ... + 53198.

It is an arithmetic number, because the mean of its divisors is an integer number (34280172).

Almost surely, 2^879691920 is an apocalyptic number.

879691920 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 879691920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371206880).

879691920 is an abundant number, since it is smaller than the sum of its proper divisors (1862721840).

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

879691920 is a wasteful number, since it uses less digits than its factorization.

879691920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20672 (or 20666 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 879691920 is about 29659.6008064842. The cubic root of 879691920 is about 958.1721295244.

The spelling of 879691920 in words is "eight hundred seventy-nine million, six hundred ninety-one thousand, nine hundred twenty".