8022575808 has 672 divisors, whose sum is σ = 28757514240. Its totient is φ = 2110095360.

The previous prime is 8022575807. The next prime is 8022575819. The reversal of 8022575808 is 8085752208.

It is not an unprimeable number, because it can be changed into a prime (8022575807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74977291 + ... + 74977397.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

Almost surely, 2^8022575808 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 8022575808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

8022575808 is an abundant number, since it is smaller than the sum of its proper divisors (20734938432).

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

8022575808 is a wasteful number, since it uses less digits than its factorization.

8022575808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 8022575808 is about 89568.8327935560. The cubic root of 8022575808 is about 2001.8795504251.

The spelling of 8022575808 in words is "eight billion, twenty-two million, five hundred seventy-five thousand, eight hundred eight".