879537120 has 384 divisors, whose sum is σ = 3527193600. Its totient is φ = 178913280.

The previous prime is 879537119. The next prime is 879537149. The reversal of 879537120 is 21735978.

879537120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1958656 + ... + 1959104.

It is an arithmetic number, because the mean of its divisors is an integer number (9185400).

Almost surely, 2^879537120 is an apocalyptic number.

879537120 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 879537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763596800).

879537120 is an abundant number, since it is smaller than the sum of its proper divisors (2647656480).

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

879537120 is a wasteful number, since it uses less digits than its factorization.

879537120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 879537120 is about 29656.9910813622. The cubic root of 879537120 is about 958.1159228216.

The spelling of 879537120 in words is "eight hundred seventy-nine million, five hundred thirty-seven thousand, one hundred twenty".