7997452320 has 768 divisors, whose sum is σ = 31506112512. Its totient is φ = 1678786560.

The previous prime is 7997452319. The next prime is 7997452327. The reversal of 7997452320 is 232547997.

It is a super-2 number, since 2×7997452320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7997452320.

It is not an unprimeable number, because it can be changed into a prime (7997452327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119364927 + ... + 119364993.

It is an arithmetic number, because the mean of its divisors is an integer number (41023584).

Almost surely, 2^7997452320 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 7997452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753056256).

7997452320 is an abundant number, since it is smaller than the sum of its proper divisors (23508660192).

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

7997452320 is a wasteful number, since it uses less digits than its factorization.

7997452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 7997452320 is about 89428.4760017747. The cubic root of 7997452320 is about 1999.7876707923.

The spelling of 7997452320 in words is "seven billion, nine hundred ninety-seven million, four hundred fifty-two thousand, three hundred twenty".