8322080256 has 480 divisors, whose sum is σ = 29755714560. Its totient is φ = 2185740288.

The previous prime is 8322080209. The next prime is 8322080269. The reversal of 8322080256 is 6520802238.

8322080256 is a `hidden beast` number, since 8 + 322 + 0 + 80 + 256 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8322080256.

It is a congruent number.

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, 22675785 + ... + 22676151.

It is an arithmetic number, because the mean of its divisors is an integer number (61991072).

Almost surely, 2^8322080256 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 8322080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877857280).

8322080256 is an abundant number, since it is smaller than the sum of its proper divisors (21433634304).

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

8322080256 is a wasteful number, since it uses less digits than its factorization.

8322080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8322080256 is about 91225.4364527789. The cubic root of 8322080256 is about 2026.4876742506.

The spelling of 8322080256 in words is "eight billion, three hundred twenty-two million, eighty thousand, two hundred fifty-six".