8020844208 has 200 divisors, whose sum is σ = 25427278800. Its totient is φ = 2425821696.

The previous prime is 8020844207. The next prime is 8020844213. The reversal of 8020844208 is 8024480208.

8020844208 is a `hidden beast` number, since 8 + 0 + 208 + 442 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8020844207) 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 39 ways as a sum of consecutive naturals, for example, 989998 + ... + 998066.

It is an arithmetic number, because the mean of its divisors is an integer number (127136394).

Almost surely, 2^8020844208 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 8020844208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713639400).

8020844208 is an abundant number, since it is smaller than the sum of its proper divisors (17406434592).

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

8020844208 is a wasteful number, since it uses less digits than its factorization.

8020844208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8161 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8020844208 is about 89559.1659630660. The cubic root of 8020844208 is about 2001.7355108987.

The spelling of 8020844208 in words is "eight billion, twenty million, eight hundred forty-four thousand, two hundred eight".