82822320 has 120 divisors (see below), whose sum is σ = 317899296. Its totient is φ = 18929664.

The previous prime is 82822309. The next prime is 82822321. The reversal of 82822320 is 2322828.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (82822321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3177 + ... + 13256.

Almost surely, 2^82822320 is an apocalyptic number.

82822320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82822320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158949648).

82822320 is an abundant number, since it is smaller than the sum of its proper divisors (235076976).

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

82822320 is a wasteful number, since it uses less digits than its factorization.

82822320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16459 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82822320 is about 9100.6768979016. The cubic root of 82822320 is about 435.8955786181.

The spelling of 82822320 in words is "eighty-two million, eight hundred twenty-two thousand, three hundred twenty".