82788672 has 28 divisors (see below), whose sum is σ = 219045536. Its totient is φ = 27596160.

The previous prime is 82788637. The next prime is 82788677. The reversal of 82788672 is 27688728.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82788677) 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, 215404 + ... + 215787.

Almost surely, 2^82788672 is an apocalyptic number.

It is an amenable number.

82788672 is an abundant number, since it is smaller than the sum of its proper divisors (136256864).

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

82788672 is a wasteful number, since it uses less digits than its factorization.

82788672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431206 (or 431196 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 82788672 is about 9098.8280564037. The cubic root of 82788672 is about 435.8365405829.

The spelling of 82788672 in words is "eighty-two million, seven hundred eighty-eight thousand, six hundred seventy-two".