82756944 has 80 divisors (see below), whose sum is σ = 247900800. Its totient is φ = 26383104.

The previous prime is 82756937. The next prime is 82756957. The reversal of 82756944 is 44965728.

It is a happy number.

82756944 is a `hidden beast` number, since 82 + 7 + 569 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82756944.

It is a congruent number.

It is an unprimeable number.

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, 5772 + ... + 14100.

It is an arithmetic number, because the mean of its divisors is an integer number (3098760).

Almost surely, 2^82756944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82756944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123950400).

82756944 is an abundant number, since it is smaller than the sum of its proper divisors (165143856).

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

82756944 is a wasteful number, since it uses less digits than its factorization.

82756944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8357 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 82756944 is about 9097.0843680819. The cubic root of 82756944 is about 435.7808566819.

The spelling of 82756944 in words is "eighty-two million, seven hundred fifty-six thousand, nine hundred forty-four".