80791881408 has 448 divisors, whose sum is σ = 285292800000. Its totient is φ = 21920329728.

The previous prime is 80791881367. The next prime is 80791881419. The reversal of 80791881408 is 80418819708.

It is a happy number.

80791881408 is a `hidden beast` number, since 80 + 79 + 18 + 81 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41452018 + ... + 41453966.

Almost surely, 2^80791881408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80791881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400000).

80791881408 is an abundant number, since it is smaller than the sum of its proper divisors (204500918592).

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

80791881408 is a wasteful number, since it uses less digits than its factorization.

80791881408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 80791881408 in words is "eighty billion, seven hundred ninety-one million, eight hundred eighty-one thousand, four hundred eight".