82756368 has 120 divisors (see below), whose sum is σ = 241297056. Its totient is φ = 26457600.

The previous prime is 82756361. The next prime is 82756403. The reversal of 82756368 is 86365728.

82756368 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 636 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (82756361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631663 + ... + 631793.

Almost surely, 2^82756368 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 82756368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528).

82756368 is an abundant number, since it is smaller than the sum of its proper divisors (158540688).

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

82756368 is a wasteful number, since it uses less digits than its factorization.

82756368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

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

The square root of 82756368 is about 9097.0527095318. The cubic root of 82756368 is about 435.7798456475.

The spelling of 82756368 in words is "eighty-two million, seven hundred fifty-six thousand, three hundred sixty-eight".