872639827200 has 756 divisors, whose sum is σ = 3300435282060. Its totient is φ = 228248616960.

The previous prime is 872639827181. The next prime is 872639827207. The reversal of 872639827200 is 2728936278.

872639827200 is a `hidden beast` number, since 8 + 7 + 26 + 398 + 27 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 59786118144 + 812853709056 = 244512^2 + 901584^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872639827207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 247275036 + ... + 247278564.

It is an arithmetic number, because the mean of its divisors is an integer number (4365655135).

Almost surely, 2^872639827200 is an apocalyptic number.

872639827200 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 872639827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650217641030).

872639827200 is an abundant number, since it is smaller than the sum of its proper divisors (2427795454860).

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

872639827200 is an equidigital number, since it uses as much as digits as its factorization.

872639827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 872639827200 in words is "eight hundred seventy-two billion, six hundred thirty-nine million, eight hundred twenty-seven thousand, two hundred".