879160 has 32 divisors (see below), whose sum is σ = 2044800. Its totient is φ = 339840.

The previous prime is 879143. The next prime is 879167. The reversal of 879160 is 61978.

879160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879167) by changing a digit.

879160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886 + ... + 1594.

It is an arithmetic number, because the mean of its divisors is an integer number (63900).

2⁸⁷⁹¹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022400).

879160 is an abundant number, since it is smaller than the sum of its proper divisors (1165640).

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

879160 is a wasteful number, since it uses less digits than its factorization.

879160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 879160 is about 937.6353235667. The cubic root of 879160 is about 95.7978965808.

The spelling of 879160 in words is "eight hundred seventy-nine thousand, one hundred sixty".