80393931878400 has 936 divisors, whose sum is σ = 329373092931584. Its totient is φ = 18359952998400.

The previous prime is 80393931878383. The next prime is 80393931878461. The reversal of 80393931878400 is 487813939308.

80393931878400 is a `hidden beast` number, since 8 + 0 + 393 + 93 + 1 + 87 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8560737705 + ... + 8560747095.

Almost surely, 2^{80393931878400} is an apocalyptic number.

80393931878400 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 80393931878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164686546465792).

80393931878400 is an abundant number, since it is smaller than the sum of its proper divisors (248979161053184).

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

80393931878400 is a wasteful number, since it uses less digits than its factorization.

80393931878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10765 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 80393931878400 in words is "eighty trillion, three hundred ninety-three billion, nine hundred thirty-one million, eight hundred seventy-eight thousand, four hundred".