9760 has 24 divisors (see below), whose sum is σ = 23436. Its totient is φ = 3840.

The previous prime is 9749. The next prime is 9767. The reversal of 9760 is 679.

9760 = T₉ + T₁₀ + ... + T₃₈.

9760 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 1296 = 92^2 + 36^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

9760 is an undulating number in base 11.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9767) 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, 130 + ... + 190.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718).

9760 is an abundant number, since it is smaller than the sum of its proper divisors (13676).

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

9760 is a wasteful number, since it uses less digits than its factorization.

9760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 9760 is about 98.7927122818. The cubic root of 9760 is about 21.3705946030.

The spelling of 9760 in words is "nine thousand, seven hundred sixty".