872454080 has 112 divisors (see below), whose sum is σ = 2203435776. Its totient is φ = 328458240.

The previous prime is 872454007. The next prime is 872454109. The reversal of 872454080 is 80454278.

It is a super-2 number, since 2×872454080² = 1522352243417292800, which contains 22 as substring.

It is a congruent number.

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, 365852 + ... + 368228.

Almost surely, 2^872454080 is an apocalyptic number.

872454080 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 872454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101717888).

872454080 is an abundant number, since it is smaller than the sum of its proper divisors (1330981696).

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

872454080 is a wasteful number, since it uses less digits than its factorization.

872454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 872454080 is about 29537.3336643645. Note that the first 3 decimals coincide. The cubic root of 872454080 is about 955.5370388416.

The spelling of 872454080 in words is "eight hundred seventy-two million, four hundred fifty-four thousand, eighty".