82076094720 has 180 divisors, whose sum is σ = 293683647180. Its totient is φ = 21886930944.

The previous prime is 82076094703. The next prime is 82076094731. The reversal of 82076094720 is 2749067028.

It can be written as a sum of positive squares in 2 ways, for example, as 53349912576 + 28726182144 = 230976^2 + 169488^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292135 + ... + 499494.

Almost surely, 2^82076094720 is an apocalyptic number.

82076094720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82076094720 is an abundant number, since it is smaller than the sum of its proper divisors (211607552460).

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

82076094720 is an equidigital number, since it uses as much as digits as its factorization.

82076094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791662 (or 791639 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 82076094720 in words is "eighty-two billion, seventy-six million, ninety-four thousand, seven hundred twenty".