878580 has 48 divisors (see below), whose sum is σ = 2735040. Its totient is φ = 234144.

The previous prime is 878573. The next prime is 878593. The reversal of 878580 is 85878.

878580 is a `hidden beast` number, since 8 + 78 + 580 = 666.

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

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (56980).

2⁸⁷⁸⁵⁸⁰ 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 878580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367520).

878580 is an abundant number, since it is smaller than the sum of its proper divisors (1856460).

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

878580 is a wasteful number, since it uses less digits than its factorization.

878580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 878580 is about 937.3259838498. The cubic root of 878580 is about 95.7768253298.

The spelling of 878580 in words is "eight hundred seventy-eight thousand, five hundred eighty".