9760080 has 80 divisors (see below), whose sum is σ = 33015744. Its totient is φ = 2365440.

The previous prime is 9760039. The next prime is 9760081. The reversal of 9760080 is 800679.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9760081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792 + ... + 4488.

Almost surely, 2^9760080 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 9760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507872).

9760080 is an abundant number, since it is smaller than the sum of its proper divisors (23255664).

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

9760080 is a wasteful number, since it uses less digits than its factorization.

9760080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 9760080 is about 3124.1126740244. The cubic root of 9760080 is about 213.7065299242.

The spelling of 9760080 in words is "nine million, seven hundred sixty thousand, eighty".