82130080 has 24 divisors (see below), whose sum is σ = 194032692. Its totient is φ = 32851968.

The previous prime is 82130051. The next prime is 82130089. The reversal of 82130080 is 8003128.

It can be written as a sum of positive squares in 2 ways, for example, as 81216144 + 913936 = 9012^2 + 956^2 .

It is not an unprimeable number, because it can be changed into a prime (82130089) 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 3 ways as a sum of consecutive naturals, for example, 256497 + ... + 256816.

Almost surely, 2^82130080 is an apocalyptic number.

82130080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82130080 is an abundant number, since it is smaller than the sum of its proper divisors (111902612).

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

82130080 is a wasteful number, since it uses less digits than its factorization.

82130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513328 (or 513320 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 82130080 is about 9062.5647583893. The cubic root of 82130080 is about 434.6777549122.

The spelling of 82130080 in words is "eighty-two million, one hundred thirty thousand, eighty".