9765120 has 72 divisors (see below), whose sum is σ = 31199616. Its totient is φ = 2603008.

The previous prime is 9765109. The next prime is 9765139. The reversal of 9765120 is 215679.

It is a super-2 number, since 2×9765120² = 190715137228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2569 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (433328).

Almost surely, 2^9765120 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 9765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599808).

9765120 is an abundant number, since it is smaller than the sum of its proper divisors (21434496).

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

9765120 is a wasteful number, since it uses less digits than its factorization.

9765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 9765120 is about 3124.9191989554. The cubic root of 9765120 is about 213.7433088429.

The spelling of 9765120 in words is "nine million, seven hundred sixty-five thousand, one hundred twenty".