7984280320 has 216 divisors, whose sum is σ = 20774308464. Its totient is φ = 2937544704.

The previous prime is 7984280309. The next prime is 7984280327. The reversal of 7984280320 is 230824897.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7984280327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17096727 + ... + 17097193.

It is an arithmetic number, because the mean of its divisors is an integer number (96177354).

Almost surely, 2^7984280320 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 7984280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10387154232).

7984280320 is an abundant number, since it is smaller than the sum of its proper divisors (12790028144).

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

7984280320 is a wasteful number, since it uses less digits than its factorization.

7984280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 7984280320 is about 89354.8002068160. The cubic root of 7984280320 is about 1998.6891677137.

The spelling of 7984280320 in words is "seven billion, nine hundred eighty-four million, two hundred eighty thousand, three hundred twenty".