7995477600 has 432 divisors, whose sum is σ = 31904832960. Its totient is φ = 1937779200.

The previous prime is 7995477487. The next prime is 7995477673. The reversal of 7995477600 is 67745997.

It is a happy number.

7995477600 is a `hidden beast` number, since 7 + 99 + 547 + 7 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×7995477600³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2136531 + ... + 2140269.

It is an arithmetic number, because the mean of its divisors is an integer number (73853780).

Almost surely, 2^7995477600 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 7995477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952416480).

7995477600 is an abundant number, since it is smaller than the sum of its proper divisors (23909355360).

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

7995477600 is a wasteful number, since it uses less digits than its factorization.

7995477600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 7995477600 is about 89417.4345415926. The cubic root of 7995477600 is about 1999.6230622968.

The spelling of 7995477600 in words is "seven billion, nine hundred ninety-five million, four hundred seventy-seven thousand, six hundred".