879920 has 40 divisors (see below), whose sum is σ = 2169504. Its totient is φ = 330752.

The previous prime is 879919. The next prime is 879941. The reversal of 879920 is 29978.

879920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 879920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037 + ... + 1683.

2⁸⁷⁹⁹²⁰ is an apocalyptic number.

879920 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 879920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084752).

879920 is an abundant number, since it is smaller than the sum of its proper divisors (1289584).

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

879920 is a wasteful number, since it uses less digits than its factorization.

879920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 879920 is about 938.0405108523. The cubic root of 879920 is about 95.8254931624.

The spelling of 879920 in words is "eight hundred seventy-nine thousand, nine hundred twenty".