7997944320 has 320 divisors, whose sum is σ = 28584420480. Its totient is φ = 2119680000.

The previous prime is 7997944271. The next prime is 7997944337. The reversal of 7997944320 is 234497997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×7997944320² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17348890 + ... + 17349350.

It is an arithmetic number, because the mean of its divisors is an integer number (89326314).

Almost surely, 2^7997944320 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 7997944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292210240).

7997944320 is an abundant number, since it is smaller than the sum of its proper divisors (20586476160).

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

7997944320 is a wasteful number, since it uses less digits than its factorization.

7997944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 7997944320 is about 89431.2267611263. The cubic root of 7997944320 is about 1999.8286786583.

The spelling of 7997944320 in words is "seven billion, nine hundred ninety-seven million, nine hundred forty-four thousand, three hundred twenty".