82308768 has 48 divisors (see below), whose sum is σ = 218312640. Its totient is φ = 27150336.

The previous prime is 82308761. The next prime is 82308773. The reversal of 82308768 is 86780328.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (82308761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4893 + ... + 13731.

It is an arithmetic number, because the mean of its divisors is an integer number (4548180).

Almost surely, 2^82308768 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 82308768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109156320).

82308768 is an abundant number, since it is smaller than the sum of its proper divisors (136003872).

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

82308768 is a wasteful number, since it uses less digits than its factorization.

82308768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8949 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 82308768 is about 9072.4179797891. The cubic root of 82308768 is about 434.9927651063.

The spelling of 82308768 in words is "eighty-two million, three hundred eight thousand, seven hundred sixty-eight".