872238844800 has 480 divisors, whose sum is σ = 3244220094720. Its totient is φ = 230756843520.

The previous prime is 872238844787. The next prime is 872238844811. The reversal of 872238844800 is 8448832278.

872238844800 is a `hidden beast` number, since 87 + 2 + 2 + 3 + 8 + 84 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 32905152 + ... + 32931648.

It is an arithmetic number, because the mean of its divisors is an integer number (6758791864).

Almost surely, 2^872238844800 is an apocalyptic number.

872238844800 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 872238844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622110047360).

872238844800 is an abundant number, since it is smaller than the sum of its proper divisors (2371981249920).

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

872238844800 is a wasteful number, since it uses less digits than its factorization.

872238844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26660 (or 26634 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 872238844800 in words is "eight hundred seventy-two billion, two hundred thirty-eight million, eight hundred forty-four thousand, eight hundred".