872704560 has 320 divisors, whose sum is σ = 3439779840. Its totient is φ = 178053120.

The previous prime is 872704559. The next prime is 872704589. The reversal of 872704560 is 65407278.

It is a super-2 number, since 2×872704560² = 1523226498089587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676396 + ... + 677684.

It is an arithmetic number, because the mean of its divisors is an integer number (10749312).

Almost surely, 2^872704560 is an apocalyptic number.

872704560 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 872704560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719889920).

872704560 is an abundant number, since it is smaller than the sum of its proper divisors (2567075280).

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

872704560 is a wasteful number, since it uses less digits than its factorization.

872704560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 872704560 is about 29541.5734178124. The cubic root of 872704560 is about 955.6284744146.

The spelling of 872704560 in words is "eight hundred seventy-two million, seven hundred four thousand, five hundred sixty".