7997304960 has 448 divisors, whose sum is σ = 29238318360. Its totient is φ = 2090188800.

The previous prime is 7997304947. The next prime is 7997304961. The reversal of 7997304960 is 694037997.

It can be written as a sum of positive squares in 4 ways, for example, as 4867573824 + 3129731136 = 69768^2 + 55944^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7997304897 and 7997304906.

It is not an unprimeable number, because it can be changed into a prime (7997304961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28460020 + ... + 28460300.

Almost surely, 2^7997304960 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 7997304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619159180).

7997304960 is an abundant number, since it is smaller than the sum of its proper divisors (21241013400).

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

7997304960 is an equidigital number, since it uses as much as digits as its factorization.

7997304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 7997304960 is about 89427.6520993367. The cubic root of 7997304960 is about 1999.7753881090.

The spelling of 7997304960 in words is "seven billion, nine hundred ninety-seven million, three hundred four thousand, nine hundred sixty".