82756304 has 20 divisors (see below), whose sum is σ = 162539076. Its totient is φ = 40810752.

The previous prime is 82756301. The next prime is 82756307. The reversal of 82756304 is 40365728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82756301) and next prime (82756307).

It can be written as a sum of positive squares in 2 ways, for example, as 61152400 + 21603904 = 7820^2 + 4648^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82756301) 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, 34259 + ... + 36594.

Almost surely, 2^82756304 is an apocalyptic number.

It is an amenable number.

82756304 is a deficient number, since it is larger than the sum of its proper divisors (79782772).

82756304 is a wasteful number, since it uses less digits than its factorization.

82756304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70934 (or 70928 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 82756304 is about 9097.0491919083. The cubic root of 82756304 is about 435.7797333100.

The spelling of 82756304 in words is "eighty-two million, seven hundred fifty-six thousand, three hundred four".