82764681876 has 120 divisors (see below), whose sum is σ = 218916297600. Its totient is φ = 27264600000.

The previous prime is 82764681829. The next prime is 82764681877. The reversal of 82764681876 is 67818646728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82764681877) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9731626 + ... + 9740126.

It is an arithmetic number, because the mean of its divisors is an integer number (1824302480).

Almost surely, 2^82764681876 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 82764681876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109458148800).

82764681876 is an abundant number, since it is smaller than the sum of its proper divisors (136151615724).

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

82764681876 is a wasteful number, since it uses less digits than its factorization.

82764681876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8856 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 82764681876 in words is "eighty-two billion, seven hundred sixty-four million, six hundred eighty-one thousand, eight hundred seventy-six".