844080808800 has 576 divisors, whose sum is σ = 2974669608960. Its totient is φ = 207347712000.

The previous prime is 844080808799. The next prime is 844080808829. The reversal of 844080808800 is 8808080448.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 844080808800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178790440 + ... + 178795160.

It is an arithmetic number, because the mean of its divisors is an integer number (5164356960).

Almost surely, 2^844080808800 is an apocalyptic number.

844080808800 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 844080808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487334804480).

844080808800 is an abundant number, since it is smaller than the sum of its proper divisors (2130588800160).

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

844080808800 is a wasteful number, since it uses less digits than its factorization.

844080808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 844080808800 in words is "eight hundred forty-four billion, eighty million, eight hundred eight thousand, eight hundred".