82763702784 has 480 divisors, whose sum is σ = 289536039936. Its totient is φ = 22255534080.

The previous prime is 82763702779. The next prime is 82763702789. The reversal of 82763702784 is 48720736728.

It is an interprime number because it is at equal distance from previous prime (82763702779) and next prime (82763702789).

It is a self number, because there is not a number n which added to its sum of digits gives 82763702784.

It is not an unprimeable number, because it can be changed into a prime (82763702789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36996514 + ... + 36998750.

Almost surely, 2^82763702784 is an apocalyptic number.

82763702784 is a gapful number since it is divisible by the number (84) 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 82763702784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144768019968).

82763702784 is an abundant number, since it is smaller than the sum of its proper divisors (206772337152).

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

82763702784 is a wasteful number, since it uses less digits than its factorization.

82763702784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 82763702784 in words is "eighty-two billion, seven hundred sixty-three million, seven hundred two thousand, seven hundred eighty-four".