82394789760 has 256 divisors, whose sum is σ = 292443955200. Its totient is φ = 21924587520.

The previous prime is 82394789723. The next prime is 82394789767. The reversal of 82394789760 is 6798749328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82394789767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8410465 + ... + 8420255.

It is an arithmetic number, because the mean of its divisors is an integer number (1142359200).

Almost surely, 2^82394789760 is an apocalyptic number.

82394789760 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 82394789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146221977600).

82394789760 is an abundant number, since it is smaller than the sum of its proper divisors (210049165440).

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

82394789760 is a wasteful number, since it uses less digits than its factorization.

82394789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 82394789760 in words is "eighty-two billion, three hundred ninety-four million, seven hundred eighty-nine thousand, seven hundred sixty".