82000080 has 80 divisors (see below), whose sum is σ = 282452160. Its totient is φ = 21866112.

The previous prime is 82000073. The next prime is 82000151. The reversal of 82000080 is 8000028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16822 + ... + 21141.

It is an arithmetic number, because the mean of its divisors is an integer number (3530652).

Almost surely, 2^82000080 is an apocalyptic number.

82000080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82000080 is an abundant number, since it is smaller than the sum of its proper divisors (200452080).

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

82000080 is a wasteful number, since it uses less digits than its factorization.

82000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37985 (or 37973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82000080 is about 9055.3895553974. The cubic root of 82000080 is about 434.4482898608.

The spelling of 82000080 in words is "eighty-two million, eighty", and thus it is an aban number and an uban number.