82368080 has 20 divisors (see below), whose sum is σ = 191505972. Its totient is φ = 32947200.

The previous prime is 82368067. The next prime is 82368089. The reversal of 82368080 is 8086328.

It can be written as a sum of positive squares in 2 ways, for example, as 13278736 + 69089344 = 3644^2 + 8312^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 82368080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82368089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514721 + ... + 514880.

Almost surely, 2^82368080 is an apocalyptic number.

82368080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82368080 is an abundant number, since it is smaller than the sum of its proper divisors (109137892).

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

82368080 is a wasteful number, since it uses less digits than its factorization.

82368080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029614 (or 1029608 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 82368080 is about 9075.6861999520. The cubic root of 82368080 is about 435.0972258125.

The spelling of 82368080 in words is "eighty-two million, three hundred sixty-eight thousand, eighty".