7970072320 has 288 divisors, whose sum is σ = 23208393600. Its totient is φ = 2563964928.

The previous prime is 7970072293. The next prime is 7970072323. The reversal of 7970072320 is 232700797.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 7970072320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7970072323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9613666 + ... + 9614494.

It is an arithmetic number, because the mean of its divisors is an integer number (80584700).

Almost surely, 2^7970072320 is an apocalyptic number.

7970072320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604196800).

7970072320 is an abundant number, since it is smaller than the sum of its proper divisors (15238321280).

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

7970072320 is a wasteful number, since it uses less digits than its factorization.

7970072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 37.

The square root of 7970072320 is about 89275.2615229998. The cubic root of 7970072320 is about 1997.5029102356.

The spelling of 7970072320 in words is "seven billion, nine hundred seventy million, seventy-two thousand, three hundred twenty".