9768880 has 80 divisors (see below), whose sum is σ = 26275104. Its totient is φ = 3338240.

The previous prime is 9768839. The next prime is 9768881. The reversal of 9768880 is 888679.

9768880 = 528² + 529² + ... + 560².

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

It is a self number, because there is not a number n which added to its sum of digits gives 9768880.

It is not an unprimeable number, because it can be changed into a prime (9768881) 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, 14634 + ... + 15286.

Almost surely, 2^9768880 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 9768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137552).

9768880 is an abundant number, since it is smaller than the sum of its proper divisors (16506224).

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

9768880 is a wasteful number, since it uses less digits than its factorization.

9768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 9768880 is about 3125.5207566100. The cubic root of 9768880 is about 213.7707388425.

It can be divided in two parts, 9768 and 880, that added together give a cube (10648 = 22³).

The spelling of 9768880 in words is "nine million, seven hundred sixty-eight thousand, eight hundred eighty".