82407932784 has 60 divisors (see below), whose sum is σ = 235534749216. Its totient is φ = 26884855296.

The previous prime is 82407932771. The next prime is 82407932797. The reversal of 82407932784 is 48723970428.

It is a happy number.

82407932784 is a `hidden beast` number, since 8 + 240 + 79 + 327 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (82407932771) and next prime (82407932797).

It is a self number, because there is not a number n which added to its sum of digits gives 82407932784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6081289 + ... + 6094824.

Almost surely, 2^82407932784 is an apocalyptic number.

It is an amenable number.

82407932784 is an abundant number, since it is smaller than the sum of its proper divisors (153126816432).

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

82407932784 is a wasteful number, since it uses less digits than its factorization.

82407932784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12176174 (or 12176165 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 82407932784 in words is "eighty-two billion, four hundred seven million, nine hundred thirty-two thousand, seven hundred eighty-four".