872655600 has 120 divisors (see below), whose sum is σ = 2848357872. Its totient is φ = 228300800.

The previous prime is 872655593. The next prime is 872655659. The reversal of 872655600 is 6556278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×872655600² = 1523055592422720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56740 + ... + 70460.

Almost surely, 2^872655600 is an apocalyptic number.

872655600 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 872655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424178936).

872655600 is an abundant number, since it is smaller than the sum of its proper divisors (1975702272).

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

872655600 is a wasteful number, since it uses less digits than its factorization.

872655600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13795 (or 13784 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 872655600 is about 29540.7447434895. The cubic root of 872655600 is about 955.6106033628.

The spelling of 872655600 in words is "eight hundred seventy-two million, six hundred fifty-five thousand, six hundred".