7965320 has 64 divisors (see below), whose sum is σ = 20053440. Its totient is φ = 2822400.

The previous prime is 7965289. The next prime is 7965329. The reversal of 7965320 is 235697.

It is not an unprimeable number, because it can be changed into a prime (7965329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18710 + ... + 19130.

It is an arithmetic number, because the mean of its divisors is an integer number (313335).

Almost surely, 2^7965320 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 7965320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026720).

7965320 is an abundant number, since it is smaller than the sum of its proper divisors (12088120).

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

7965320 is a wasteful number, since it uses less digits than its factorization.

7965320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 7965320 is about 2822.2898504583. The cubic root of 7965320 is about 199.7105813864.

It can be divided in two parts, 796 and 5320, that added together give a palindrome (6116).

The spelling of 7965320 in words is "seven million, nine hundred sixty-five thousand, three hundred twenty".