82788912 has 80 divisors (see below), whose sum is σ = 251635680. Its totient is φ = 25970688.

The previous prime is 82788907. The next prime is 82788913. The reversal of 82788912 is 21988728.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82788913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708 + ... + 12980.

It is an arithmetic number, because the mean of its divisors is an integer number (3145446).

Almost surely, 2^82788912 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 82788912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125817840).

82788912 is an abundant number, since it is smaller than the sum of its proper divisors (168846768).

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

82788912 is a wasteful number, since it uses less digits than its factorization.

82788912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307 (or 11295 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 82788912 is about 9098.8412449059. The cubic root of 82788912 is about 435.8369617382.

The spelling of 82788912 in words is "eighty-two million, seven hundred eighty-eight thousand, nine hundred twelve".