82116762 has 96 divisors (see below), whose sum is σ = 212502528. Its totient is φ = 20674368.

The previous prime is 82116757. The next prime is 82116773. The reversal of 82116762 is 26761128.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163003 + ... + 163505.

It is an arithmetic number, because the mean of its divisors is an integer number (2213568).

Almost surely, 2^82116762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82116762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106251264).

82116762 is an abundant number, since it is smaller than the sum of its proper divisors (130385766).

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

82116762 is a wasteful number, since it uses less digits than its factorization.

82116762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 82116762 is about 9061.8299476430. The cubic root of 82116762 is about 434.6542582377.

The spelling of 82116762 in words is "eighty-two million, one hundred sixteen thousand, seven hundred sixty-two".