8075152800 has 1296 divisors, whose sum is σ = 36306676224. Its totient is φ = 1672704000.

The previous prime is 8075152753. The next prime is 8075152807. The reversal of 8075152800 is 82515708.

8075152800 is a `hidden beast` number, since 80 + 7 + 51 + 528 + 0 + 0 = 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 (8075152807) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 260488785 + ... + 260488815.

Almost surely, 2^8075152800 is an apocalyptic number.

8075152800 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 8075152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18153338112).

8075152800 is an abundant number, since it is smaller than the sum of its proper divisors (28231523424).

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

8075152800 is a wasteful number, since it uses less digits than its factorization.

8075152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 8075152800 is about 89861.8539759780. The cubic root of 8075152800 is about 2006.2432241306.

The spelling of 8075152800 in words is "eight billion, seventy-five million, one hundred fifty-two thousand, eight hundred".