82395768 has 128 divisors (see below), whose sum is σ = 261918720. Its totient is φ = 21012480.

The previous prime is 82395763. The next prime is 82395769. The reversal of 82395768 is 86759328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82395763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67096 + ... + 68312.

It is an arithmetic number, because the mean of its divisors is an integer number (2046240).

Almost surely, 2^82395768 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 82395768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130959360).

82395768 is an abundant number, since it is smaller than the sum of its proper divisors (179522952).

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

82395768 is a wasteful number, since it uses less digits than its factorization.

82395768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1273 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 82395768 is about 9077.2114660836. The cubic root of 82395768 is about 435.1459729419.

The spelling of 82395768 in words is "eighty-two million, three hundred ninety-five thousand, seven hundred sixty-eight".