808844800800 has 144 divisors (see below), whose sum is σ = 2633087096640. Its totient is φ = 215667594240.

The previous prime is 808844800789. The next prime is 808844800807. The reversal of 808844800800 is 8008448808.

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 808844800800.

It is not an unprimeable number, because it can be changed into a prime (808844800807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33657589 + ... + 33681611.

It is an arithmetic number, because the mean of its divisors is an integer number (18285327060).

Almost surely, 2^808844800800 is an apocalyptic number.

808844800800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808844800800 is an abundant number, since it is smaller than the sum of its proper divisors (1824242295840).

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

808844800800 is a wasteful number, since it uses less digits than its factorization.

808844800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38075 (or 38062 counting only the distinct ones).

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

The spelling of 808844800800 in words is "eight hundred eight billion, eight hundred forty-four million, eight hundred thousand, eight hundred".