7985320 has 96 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 2560896.

The previous prime is 7985311. The next prime is 7985323. The reversal of 7985320 is 235897.

It is not an unprimeable number, because it can be changed into a prime (7985323) 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, 101041 + ... + 101119.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^7985320 is an apocalyptic number.

7985320 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 7985320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

7985320 is an abundant number, since it is smaller than the sum of its proper divisors (13960280).

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

7985320 is a wasteful number, since it uses less digits than its factorization.

7985320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 7985320 is about 2825.8308512719. The cubic root of 7985320 is about 199.8775917631.

The spelling of 7985320 in words is "seven million, nine hundred eighty-five thousand, three hundred twenty".