880808444400 has 240 divisors, whose sum is σ = 2883338025984. Its totient is φ = 229742576640.

The previous prime is 880808444371. The next prime is 880808444441. The reversal of 880808444400 is 4444808088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 880808444400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115785397 + ... + 115793003.

Almost surely, 2^880808444400 is an apocalyptic number.

880808444400 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 880808444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441669012992).

880808444400 is an abundant number, since it is smaller than the sum of its proper divisors (2002529581584).

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

880808444400 is a wasteful number, since it uses less digits than its factorization.

880808444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728 (or 9717 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 880808444400 in words is "eight hundred eighty billion, eight hundred eight million, four hundred forty-four thousand, four hundred".