7816320 has 192 divisors, whose sum is σ = 28641600. Its totient is φ = 1959936.

The previous prime is 7816301. The next prime is 7816321. The reversal of 7816320 is 236187.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7816320² = 122189716684800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7816321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132451 + ... + 132509.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 2^7816320 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 7816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320800).

7816320 is an abundant number, since it is smaller than the sum of its proper divisors (20825280).

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

7816320 is a wasteful number, since it uses less digits than its factorization.

7816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7816320 is about 2795.7682307373. The cubic root of 7816320 is about 198.4574668771.

The spelling of 7816320 in words is "seven million, eight hundred sixteen thousand, three hundred twenty".