844880408880 has 160 divisors (see below), whose sum is σ = 2665757952000. Its totient is φ = 221319361536.

The previous prime is 844880408873. The next prime is 844880408891. The reversal of 844880408880 is 88804088448.

844880408880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3622021 + ... + 3848219.

It is an arithmetic number, because the mean of its divisors is an integer number (16660987200).

Almost surely, 2^844880408880 is an apocalyptic number.

844880408880 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 844880408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332878976000).

844880408880 is an abundant number, since it is smaller than the sum of its proper divisors (1820877543120).

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

844880408880 is a wasteful number, since it uses less digits than its factorization.

844880408880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226491 (or 226485 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 60.

The spelling of 844880408880 in words is "eight hundred forty-four billion, eight hundred eighty million, four hundred eight thousand, eight hundred eighty".