9767680 has 72 divisors (see below), whose sum is σ = 25239312. Its totient is φ = 3600384.

The previous prime is 9767677. The next prime is 9767699. The reversal of 9767680 is 867679.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16347 + ... + 16933.

It is an arithmetic number, because the mean of its divisors is an integer number (350546).

Almost surely, 2^9767680 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 9767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619656).

9767680 is an abundant number, since it is smaller than the sum of its proper divisors (15471632).

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

9767680 is a wasteful number, since it uses less digits than its factorization.

9767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 9767680 is about 3125.3287827043. The cubic root of 9767680 is about 213.7619853521.

The spelling of 9767680 in words is "nine million, seven hundred sixty-seven thousand, six hundred eighty".