872556300 has 360 divisors, whose sum is σ = 3528940800. Its totient is φ = 181180800.

The previous prime is 872556283. The next prime is 872556329. The reversal of 872556300 is 3655278.

872556300 is a `hidden beast` number, since 8 + 72 + 556 + 30 + 0 = 666.

It is a super-2 number, since 2×872556300² = 1522708993339380000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 623001 + ... + 624399.

Almost surely, 2^872556300 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 872556300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764470400).

872556300 is an abundant number, since it is smaller than the sum of its proper divisors (2656384500).

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

872556300 is a wasteful number, since it uses less digits than its factorization.

872556300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 872556300 is about 29539.0639662126. The cubic root of 872556300 is about 955.5743554881.

It can be divided in two parts, 8725 and 56300, that added together give a square (65025 = 255²).

The spelling of 872556300 in words is "eight hundred seventy-two million, five hundred fifty-six thousand, three hundred".