7995859200 has 486 divisors, whose sum is σ = 33266004954. Its totient is φ = 1826979840.

The previous prime is 7995859189. The next prime is 7995859229. The reversal of 7995859200 is 29585997.

It can be written as a sum of positive squares in 3 ways, for example, as 305270784 + 7690588416 = 17472^2 + 87696^2 .

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 2820984 + ... + 2823816.

Almost surely, 2^7995859200 is an apocalyptic number.

7995859200 is a gapful number since it is divisible by the number (70) 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 7995859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633002477).

7995859200 is an abundant number, since it is smaller than the sum of its proper divisors (25270145754).

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

7995859200 is a wasteful number, since it uses less digits than its factorization.

7995859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The square root of 7995859200 is about 89419.5683281909. The cubic root of 7995859200 is about 1999.6548737807.

The spelling of 7995859200 in words is "seven billion, nine hundred ninety-five million, eight hundred fifty-nine thousand, two hundred".