872570880 has 280 divisors, whose sum is σ = 3140031312. Its totient is φ = 231800832.

The previous prime is 872570873. The next prime is 872570893. The reversal of 872570880 is 88075278.

It is a happy number.

872570880 is a `hidden beast` number, since 8 + 72 + 570 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×872570880² = 1522759881247948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317629 + ... + 3317891.

Almost surely, 2^872570880 is an apocalyptic number.

872570880 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 872570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570015656).

872570880 is an abundant number, since it is smaller than the sum of its proper divisors (2267460432).

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

872570880 is an equidigital number, since it uses as much as digits as its factorization.

872570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 872570880 is about 29539.3107570234. The cubic root of 872570880 is about 955.5796778559.

The spelling of 872570880 in words is "eight hundred seventy-two million, five hundred seventy thousand, eight hundred eighty".