82722816 has 240 divisors, whose sum is σ = 283106880. Its totient is φ = 23592960.

The previous prime is 82722803. The next prime is 82722839. The reversal of 82722816 is 61822728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4866040 + ... + 4866056.

It is an arithmetic number, because the mean of its divisors is an integer number (1179612).

Almost surely, 2^82722816 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 82722816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141553440).

82722816 is an abundant number, since it is smaller than the sum of its proper divisors (200384064).

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

82722816 is a wasteful number, since it uses less digits than its factorization.

82722816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 82722816 is about 9095.2084088271. The cubic root of 82722816 is about 435.7209447953.

It can be divided in two parts, 82722 and 816, that added together give a palindrome (83538).

The spelling of 82722816 in words is "eighty-two million, seven hundred twenty-two thousand, eight hundred sixteen".