7989120 has 192 divisors, whose sum is σ = 29437200. Its totient is φ = 1990656.

The previous prime is 7989083. The next prime is 7989143. The reversal of 7989120 is 219897.

It is a happy number.

7989120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109404 + ... + 109476.

Almost surely, 2^7989120 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 7989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718600).

7989120 is an abundant number, since it is smaller than the sum of its proper divisors (21448080).

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

7989120 is a wasteful number, since it uses less digits than its factorization.

7989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 7989120 is about 2826.5031399240. The cubic root of 7989120 is about 199.9092922000.

The spelling of 7989120 in words is "seven million, nine hundred eighty-nine thousand, one hundred twenty".