872080 has 40 divisors (see below), whose sum is σ = 2214144. Its totient is φ = 316800.

The previous prime is 872077. The next prime is 872089. The reversal of 872080 is 80278.

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 (872089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385 + ... + 1375.

2⁸⁷²⁰⁸⁰ is an apocalyptic number.

872080 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 872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107072).

872080 is an abundant number, since it is smaller than the sum of its proper divisors (1342064).

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

872080 is a wasteful number, since it uses less digits than its factorization.

872080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 872080 is about 933.8522367056. The cubic root of 872080 is about 95.5400451559.

The spelling of 872080 in words is "eight hundred seventy-two thousand, eighty".