82314760 has 64 divisors (see below), whose sum is σ = 209044800. Its totient is φ = 28896000.

The previous prime is 82314709. The next prime is 82314809. The reversal of 82314760 is 6741328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9535 + ... + 15985.

It is an arithmetic number, because the mean of its divisors is an integer number (3266325).

Almost surely, 2^82314760 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 82314760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104522400).

82314760 is an abundant number, since it is smaller than the sum of its proper divisors (126730040).

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

82314760 is a wasteful number, since it uses less digits than its factorization.

82314760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 82314760 is about 9072.7482054778. The cubic root of 82314760 is about 435.0033205366.

The spelling of 82314760 in words is "eighty-two million, three hundred fourteen thousand, seven hundred sixty".