7997583360 has 832 divisors, whose sum is σ = 31705067520. Its totient is φ = 1698693120.

The previous prime is 7997583359. The next prime is 7997583371. The reversal of 7997583360 is 633857997.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×7997583360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 7997583360.

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 63 ways as a sum of consecutive naturals, for example, 257986545 + ... + 257986575.

Almost surely, 2^7997583360 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 7997583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852533760).

7997583360 is an abundant number, since it is smaller than the sum of its proper divisors (23707484160).

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

7997583360 is a wasteful number, since it uses less digits than its factorization.

7997583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The square root of 7997583360 is about 89429.2086513126. The cubic root of 7997583360 is about 1999.7985930516.

The spelling of 7997583360 in words is "seven billion, nine hundred ninety-seven million, five hundred eighty-three thousand, three hundred sixty".