8000575200 has 288 divisors, whose sum is σ = 29030641920. Its totient is φ = 2126476800.

The previous prime is 8000575189. The next prime is 8000575223. The reversal of 8000575200 is 25750008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12678885 + ... + 12679515.

It is an arithmetic number, because the mean of its divisors is an integer number (100800840).

Almost surely, 2^8000575200 is an apocalyptic number.

8000575200 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 8000575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515320960).

8000575200 is an abundant number, since it is smaller than the sum of its proper divisors (21030066720).

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

8000575200 is a wasteful number, since it uses less digits than its factorization.

8000575200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 8000575200 is about 89445.9345079473. The cubic root of 8000575200 is about 2000.0479321846.

The spelling of 8000575200 in words is "eight billion, five hundred seventy-five thousand, two hundred".