82307680 has 96 divisors (see below), whose sum is σ = 239367744. Its totient is φ = 26044416.

The previous prime is 82307663. The next prime is 82307681. The reversal of 82307680 is 8670328.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82307681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11734 + ... + 17386.

It is an arithmetic number, because the mean of its divisors is an integer number (2493414).

Almost surely, 2^82307680 is an apocalyptic number.

82307680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119683872).

82307680 is an abundant number, since it is smaller than the sum of its proper divisors (157060064).

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

82307680 is a wasteful number, since it uses less digits than its factorization.

82307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 82307680 is about 9072.3580176269. The cubic root of 82307680 is about 434.9908484445.

The spelling of 82307680 in words is "eighty-two million, three hundred seven thousand, six hundred eighty".