879280 has 40 divisors (see below), whose sum is σ = 2120400. Its totient is φ = 338688.

The previous prime is 879271. The next prime is 879283. The reversal of 879280 is 82978.

It is a happy number.

879280 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 not an unprimeable number, because it can be changed into a prime (879283) by changing a digit.

879280 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, 2131 + ... + 2509.

It is an arithmetic number, because the mean of its divisors is an integer number (53010).

2⁸⁷⁹²⁸⁰ is an apocalyptic number.

879280 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 879280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060200).

879280 is an abundant number, since it is smaller than the sum of its proper divisors (1241120).

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

879280 is a wasteful number, since it uses less digits than its factorization.

879280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 879280 is about 937.6993121465. The cubic root of 879280 is about 95.8022549929.

The spelling of 879280 in words is "eight hundred seventy-nine thousand, two hundred eighty".