82176768 has 108 divisors (see below), whose sum is σ = 245897288. Its totient is φ = 27371520.

The previous prime is 82176763. The next prime is 82176779. The reversal of 82176768 is 86767128.

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (82176763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61548 + ... + 62868.

Almost surely, 2^82176768 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 82176768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122948644).

82176768 is an abundant number, since it is smaller than the sum of its proper divisors (163720520).

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

82176768 is an equidigital number, since it uses as much as digits as its factorization.

82176768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1326 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 82176768 is about 9065.1402636694. The cubic root of 82176768 is about 434.7601055391.

It can be divided in two parts, 82176 and 768, that added together give a square (82944 = 288²).

The spelling of 82176768 in words is "eighty-two million, one hundred seventy-six thousand, seven hundred sixty-eight".