7975036800 has 288 divisors, whose sum is σ = 28888474680. Its totient is φ = 2094428160.

The previous prime is 7975036793. The next prime is 7975036847. The reversal of 7975036800 is 86305797.

It is a happy number.

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

It is a super-2 number, since 2×7975036800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1927534 + ... + 1931666.

Almost surely, 2^7975036800 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 7975036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14444237340).

7975036800 is an abundant number, since it is smaller than the sum of its proper divisors (20913437880).

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

7975036800 is a wasteful number, since it uses less digits than its factorization.

7975036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7975036800 is about 89303.0615376651. The cubic root of 7975036800 is about 1997.9175658198.

The spelling of 7975036800 in words is "seven billion, nine hundred seventy-five million, thirty-six thousand, eight hundred".