879480 has 96 divisors (see below), whose sum is σ = 3276000. Its totient is φ = 200448.

The previous prime is 879457. The next prime is 879493. The reversal of 879480 is 84978.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 879480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2346 + ... + 2694.

It is an arithmetic number, because the mean of its divisors is an integer number (34125).

2⁸⁷⁹⁴⁸⁰ 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 879480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638000).

879480 is an abundant number, since it is smaller than the sum of its proper divisors (2396520).

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

879480 is a wasteful number, since it uses less digits than its factorization.

879480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 879480 is about 937.8059500771. The cubic root of 879480 is about 95.8095181318.

The spelling of 879480 in words is "eight hundred seventy-nine thousand, four hundred eighty".