80890718400 has 504 divisors, whose sum is σ = 292746312144. Its totient is φ = 21182054400.

The previous prime is 80890718399. The next prime is 80890718407. The reversal of 80890718400 is 481709808.

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

It is not an unprimeable number, because it can be changed into a prime (80890718407) by changing a digit.

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, 258436644 + ... + 258436956.

Almost surely, 2^80890718400 is an apocalyptic number.

80890718400 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 80890718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146373156072).

80890718400 is an abundant number, since it is smaller than the sum of its proper divisors (211855593744).

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

80890718400 is a wasteful number, since it uses less digits than its factorization.

80890718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 591 counting only the distinct ones).

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

The spelling of 80890718400 in words is "eighty billion, eight hundred ninety million, seven hundred eighteen thousand, four hundred".