7916800320 has 672 divisors, whose sum is σ = 32751613440. Its totient is φ = 1729658880.

The previous prime is 7916800313. The next prime is 7916800327. The reversal of 7916800320 is 230086197.

It is an interprime number because it is at equal distance from previous prime (7916800313) and next prime (7916800327).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7916800327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19356276 + ... + 19356684.

It is an arithmetic number, because the mean of its divisors is an integer number (48737520).

Almost surely, 2^7916800320 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 7916800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375806720).

7916800320 is an abundant number, since it is smaller than the sum of its proper divisors (24834813120).

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

7916800320 is a wasteful number, since it uses less digits than its factorization.

7916800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7916800320 is about 88976.4031639850. The cubic root of 7916800320 is about 1993.0425181219.

The spelling of 7916800320 in words is "seven billion, nine hundred sixteen million, eight hundred thousand, three hundred twenty".