82794516 has 72 divisors (see below), whose sum is σ = 226568160. Its totient is φ = 23462208.

The previous prime is 82794511. The next prime is 82794527. The reversal of 82794516 is 61549728.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82794511) 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 23 ways as a sum of consecutive naturals, for example, 81226 + ... + 82238.

It is an arithmetic number, because the mean of its divisors is an integer number (3146780).

Almost surely, 2^82794516 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 82794516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113284080).

82794516 is an abundant number, since it is smaller than the sum of its proper divisors (143773644).

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

82794516 is a wasteful number, since it uses less digits than its factorization.

82794516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1164 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 82794516 is about 9099.1491909958. The cubic root of 82794516 is about 435.8467954835.

The spelling of 82794516 in words is "eighty-two million, seven hundred ninety-four thousand, five hundred sixteen".