800225568 has 240 divisors, whose sum is σ = 2540837376. Its totient is φ = 246343680.

The previous prime is 800225567. The next prime is 800225597. The reversal of 800225568 is 865522008.

800225568 is a `hidden beast` number, since 80 + 0 + 22 + 556 + 8 = 666.

800225568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (800225567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1847880 + ... + 1848312.

Almost surely, 2^800225568 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 800225568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270418688).

800225568 is an abundant number, since it is smaller than the sum of its proper divisors (1740611808).

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

800225568 is a wasteful number, since it uses less digits than its factorization.

800225568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 800225568 is about 28288.2584829819. The cubic root of 800225568 is about 928.4050080161.

The spelling of 800225568 in words is "eight hundred million, two hundred twenty-five thousand, five hundred sixty-eight".