82926318720 has 768 divisors, whose sum is σ = 320306503680. Its totient is φ = 17864663040.

The previous prime is 82926318707. The next prime is 82926318721. The reversal of 82926318720 is 2781362928.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82926318720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82926318721) 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, 1167976285 + ... + 1167976355.

It is an arithmetic number, because the mean of its divisors is an integer number (417065760).

Almost surely, 2^82926318720 is an apocalyptic number.

82926318720 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 82926318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160153251840).

82926318720 is an abundant number, since it is smaller than the sum of its proper divisors (237380184960).

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

82926318720 is a wasteful number, since it uses less digits than its factorization.

82926318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 82926318720 in words is "eighty-two billion, nine hundred twenty-six million, three hundred eighteen thousand, seven hundred twenty".