7995801600 has 450 divisors, whose sum is σ = 29743982114. Its totient is φ = 2123366400.

The previous prime is 7995801587. The next prime is 7995801629. The reversal of 7995801600 is 61085997.

7995801600 is a `hidden beast` number, since 7 + 9 + 9 + 580 + 1 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1116094464 + 6879707136 = 33408^2 + 82944^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33177480 + ... + 33177720.

Almost surely, 2^7995801600 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 7995801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871991057).

7995801600 is an abundant number, since it is smaller than the sum of its proper divisors (21748180514).

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

7995801600 is an equidigital number, since it uses as much as digits as its factorization.

7995801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 7995801600 is about 89419.2462504577. The cubic root of 7995801600 is about 1999.6500721121.

The spelling of 7995801600 in words is "seven billion, nine hundred ninety-five million, eight hundred one thousand, six hundred".