82257768 has 80 divisors (see below), whose sum is σ = 234287460. Its totient is φ = 26956800.

The previous prime is 82257727. The next prime is 82257797. The reversal of 82257768 is 86775228.

It can be written as a sum of positive squares in 2 ways, for example, as 71876484 + 10381284 = 8478^2 + 3222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38488 + ... + 40568.

Almost surely, 2^82257768 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 82257768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117143730).

82257768 is an abundant number, since it is smaller than the sum of its proper divisors (152029692).

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

82257768 is a wasteful number, since it uses less digits than its factorization.

82257768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2147 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 82257768 is about 9069.6068272004. The cubic root of 82257768 is about 434.9029034178.

The spelling of 82257768 in words is "eighty-two million, two hundred fifty-seven thousand, seven hundred sixty-eight".