880071984000 has 768 divisors, whose sum is σ = 3482652438720. Its totient is φ = 211200000000.

The previous prime is 880071983977. The next prime is 880071984031. The reversal of 880071984000 is 489170088.

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

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, 159981250 + ... + 159986750.

Almost surely, 2^880071984000 is an apocalyptic number.

880071984000 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 880071984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741326219360).

880071984000 is an abundant number, since it is smaller than the sum of its proper divisors (2602580454720).

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

880071984000 is a wasteful number, since it uses less digits than its factorization.

880071984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 880071984000 in words is "eight hundred eighty billion, seventy-one million, nine hundred eighty-four thousand".