82077456 has 40 divisors (see below), whose sum is σ = 212379264. Its totient is φ = 27314560.

The previous prime is 82077431. The next prime is 82077467. The reversal of 82077456 is 65477028.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42790 + ... + 44666.

Almost surely, 2^82077456 is an apocalyptic number.

It is an amenable number.

82077456 is an abundant number, since it is smaller than the sum of its proper divisors (130301808).

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

82077456 is a wasteful number, since it uses less digits than its factorization.

82077456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 82077456 is about 9059.6609208071. The cubic root of 82077456 is about 434.5848966503.

The spelling of 82077456 in words is "eighty-two million, seventy-seven thousand, four hundred fifty-six".