872776396800 has 1872 divisors, whose sum is σ = 3992856940800. Its totient is φ = 180633600000.

The previous prime is 872776396787. The next prime is 872776396819. The reversal of 872776396800 is 8693677278.

872776396800 is a `hidden beast` number, since 87 + 27 + 76 + 396 + 80 + 0 = 666.

It is a super-2 number, since 2×872776396800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3477196675 + ... + 3477196925.

It is an arithmetic number, because the mean of its divisors is an integer number (2132936400).

Almost surely, 2^872776396800 is an apocalyptic number.

872776396800 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 872776396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996428470400).

872776396800 is an abundant number, since it is smaller than the sum of its proper divisors (3120080544000).

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

872776396800 is a wasteful number, since it uses less digits than its factorization.

872776396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 872776396800 in words is "eight hundred seventy-two billion, seven hundred seventy-six million, three hundred ninety-six thousand, eight hundred".