82739990760 has 384 divisors, whose sum is σ = 315604823040. Its totient is φ = 17224704000.

The previous prime is 82739990759. The next prime is 82739990761. The reversal of 82739990760 is 6709993728.

It is an interprime number because it is at equal distance from previous prime (82739990759) and next prime (82739990761).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 82739990694 and 82739990703.

It is not an unprimeable number, because it can be changed into a prime (82739990761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3085410 + ... + 3112110.

It is an arithmetic number, because the mean of its divisors is an integer number (821887560).

Almost surely, 2^82739990760 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 82739990760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157802411520).

82739990760 is an abundant number, since it is smaller than the sum of its proper divisors (232864832280).

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

82739990760 is a wasteful number, since it uses less digits than its factorization.

82739990760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26777 (or 26766 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 82739990760 in words is "eighty-two billion, seven hundred thirty-nine million, nine hundred ninety thousand, seven hundred sixty".