7989760 has 40 divisors (see below), whose sum is σ = 19162836. Its totient is φ = 3194880.

The previous prime is 7989757. The next prime is 7989767. The reversal of 7989760 is 679897.

It can be written as a sum of positive squares in 2 ways, for example, as 6471936 + 1517824 = 2544^2 + 1232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 7989760.

It is not an unprimeable number, because it can be changed into a prime (7989767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1000 + ... + 4120.

Almost surely, 2^7989760 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 7989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581418).

7989760 is an abundant number, since it is smaller than the sum of its proper divisors (11173076).

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

7989760 is an equidigital number, since it uses as much as digits as its factorization.

7989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 7989760 is about 2826.6163517535. The cubic root of 7989760 is about 199.9146302319.

The spelling of 7989760 in words is "seven million, nine hundred eighty-nine thousand, seven hundred sixty".