872480 has 96 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 276480.

The previous prime is 872479. The next prime is 872533. The reversal of 872480 is 84278.

It is a super-2 number, since 2×872480² = 1522442700800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21260 + ... + 21300.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁸⁷²⁴⁸⁰ is an apocalyptic number.

872480 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 872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

872480 is an abundant number, since it is smaller than the sum of its proper divisors (1667680).

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

872480 is a wasteful number, since it uses less digits than its factorization.

872480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 872480 is about 934.0663787976. The cubic root of 872480 is about 95.5546501527.

The spelling of 872480 in words is "eight hundred seventy-two thousand, four hundred eighty".