880093900800 has 936 divisors, whose sum is σ = 3308525626224. Its totient is φ = 231871610880.

The previous prime is 880093900793. The next prime is 880093900841. The reversal of 880093900800 is 8009390088.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2811801444 + ... + 2811801756.

Almost surely, 2^880093900800 is an apocalyptic number.

880093900800 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 880093900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654262813112).

880093900800 is an abundant number, since it is smaller than the sum of its proper divisors (2428431725424).

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

880093900800 is a wasteful number, since it uses less digits than its factorization.

880093900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 880093900800 in words is "eight hundred eighty billion, ninety-three million, nine hundred thousand, eight hundred".