82792015812 has 288 divisors, whose sum is σ = 240400742400. Its totient is φ = 24706684800.

The previous prime is 82792015777. The next prime is 82792015847. The reversal of 82792015812 is 21851029728.

It is an interprime number because it is at equal distance from previous prime (82792015777) and next prime (82792015847).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346409989 + ... + 346410227.

It is an arithmetic number, because the mean of its divisors is an integer number (834724800).

Almost surely, 2^82792015812 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 82792015812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120200371200).

82792015812 is an abundant number, since it is smaller than the sum of its proper divisors (157608726588).

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

82792015812 is a wasteful number, since it uses less digits than its factorization.

82792015812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 82792015812 in words is "eighty-two billion, seven hundred ninety-two million, fifteen thousand, eight hundred twelve".