82768816 has 40 divisors (see below), whose sum is σ = 173287520. Its totient is φ = 38071296.

The previous prime is 82768811. The next prime is 82768859. The reversal of 82768816 is 61886728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82768811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89605 + ... + 90523.

It is an arithmetic number, because the mean of its divisors is an integer number (4332188).

Almost surely, 2^82768816 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 82768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86643760).

82768816 is an abundant number, since it is smaller than the sum of its proper divisors (90518704).

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

82768816 is a wasteful number, since it uses less digits than its factorization.

82768816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1367 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The square root of 82768816 is about 9097.7368614398. The cubic root of 82768816 is about 435.8016941799.

The spelling of 82768816 in words is "eighty-two million, seven hundred sixty-eight thousand, eight hundred sixteen".