870880 has 24 divisors (see below), whose sum is σ = 2057832. Its totient is φ = 348288.

The previous prime is 870871. The next prime is 870889. The reversal of 870880 is 88078.

It is an interprime number because it is at equal distance from previous prime (870871) and next prime (870889).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (870889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2562 + ... + 2881.

It is an arithmetic number, because the mean of its divisors is an integer number (85743).

2⁸⁷⁰⁸⁸⁰ is an apocalyptic number.

870880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

870880 is an abundant number, since it is smaller than the sum of its proper divisors (1186952).

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

870880 is a wasteful number, since it uses less digits than its factorization.

870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 870880 is about 933.2095155966. The cubic root of 870880 is about 95.4962033523.

The spelling of 870880 in words is "eight hundred seventy thousand, eight hundred eighty".