82080012 has 96 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 21888000.

The previous prime is 82080007. The next prime is 82080013. The reversal of 82080012 is 21008028.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (82080013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326887 + ... + 327137.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^82080012 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 82080012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

82080012 is an abundant number, since it is smaller than the sum of its proper divisors (151614708).

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

82080012 is a wasteful number, since it uses less digits than its factorization.

82080012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 82080012 is about 9059.8019845911. The cubic root of 82080012 is about 434.5894077853.

The spelling of 82080012 in words is "eighty-two million, eighty thousand, twelve".