872580600 has 240 divisors, whose sum is σ = 3083772120. Its totient is φ = 228614400.

The previous prime is 872580581. The next prime is 872580617. The reversal of 872580600 is 6085278.

872580600 is a `hidden beast` number, since 8 + 72 + 580 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×872580600² = 1522793806992720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 987759 + ... + 988641.

Almost surely, 2^872580600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872580600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541886060).

872580600 is an abundant number, since it is smaller than the sum of its proper divisors (2211191520).

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

872580600 is a wasteful number, since it uses less digits than its factorization.

872580600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 872580600 is about 29539.4752830852. The cubic root of 872580600 is about 955.5832260681.

The spelling of 872580600 in words is "eight hundred seventy-two million, five hundred eighty thousand, six hundred".