8090503200 has 648 divisors, whose sum is σ = 31686995340. Its totient is φ = 1940889600.

The previous prime is 8090503181. The next prime is 8090503217. The reversal of 8090503200 is 23050908.

It can be written as a sum of positive squares in 18 ways, for example, as 3624521616 + 4465981584 = 60204^2 + 66828^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 74224746 + ... + 74224854.

Almost surely, 2^8090503200 is an apocalyptic number.

8090503200 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 8090503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843497670).

8090503200 is an abundant number, since it is smaller than the sum of its proper divisors (23596492140).

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

8090503200 is a wasteful number, since it uses less digits than its factorization.

8090503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 8090503200 is about 89947.2245263855. The cubic root of 8090503200 is about 2007.5136703633.

The spelling of 8090503200 in words is "eight billion, ninety million, five hundred three thousand, two hundred".