82020792 has 64 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 22677120.

The previous prime is 82020773. The next prime is 82020793. The reversal of 82020792 is 29702028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82020793) 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 15 ways as a sum of consecutive naturals, for example, 2667 + ... + 13082.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^82020792 is an apocalyptic number.

It is an amenable number.

82020792 is an abundant number, since it is smaller than the sum of its proper divisors (159899208).

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

82020792 is a wasteful number, since it uses less digits than its factorization.

82020792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15796 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 82020792 is about 9056.5331115168. The cubic root of 82020792 is about 434.4848651725.

It can be divided in two parts, 820 and 20792, that added together give a palindrome (21612).

The spelling of 82020792 in words is "eighty-two million, twenty thousand, seven hundred ninety-two".