9879760 has 80 divisors (see below), whose sum is σ = 25534080. Its totient is φ = 3525120.

The previous prime is 9879757. The next prime is 9879763. The reversal of 9879760 is 679789.

It is an interprime number because it is at equal distance from previous prime (9879757) and next prime (9879763).

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 9879760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9879763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90586 + ... + 90694.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^9879760 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 9879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767040).

9879760 is an abundant number, since it is smaller than the sum of its proper divisors (15654320).

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

9879760 is a wasteful number, since it uses less digits than its factorization.

9879760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 9879760 is about 3143.2085517827. The cubic root of 9879760 is about 214.5764873760.

The spelling of 9879760 in words is "nine million, eight hundred seventy-nine thousand, seven hundred sixty".