82082720 has 24 divisors (see below), whose sum is σ = 193920804. Its totient is φ = 32833024.

The previous prime is 82082713. The next prime is 82082729. The reversal of 82082720 is 2728028.

It can be written as a sum of positive squares in 2 ways, for example, as 75134224 + 6948496 = 8668^2 + 2636^2 .

It is not an unprimeable number, because it can be changed into a prime (82082729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256349 + ... + 256668.

Almost surely, 2^82082720 is an apocalyptic number.

82082720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82082720 is an abundant number, since it is smaller than the sum of its proper divisors (111838084).

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

82082720 is a wasteful number, since it uses less digits than its factorization.

82082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513032 (or 513024 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 82082720 is about 9059.9514347484. The cubic root of 82082720 is about 434.5941870860.

The spelling of 82082720 in words is "eighty-two million, eighty-two thousand, seven hundred twenty".