9787680 has 144 divisors (see below), whose sum is σ = 38211264. Its totient is φ = 2234880.

The previous prime is 9787667. The next prime is 9787709. The reversal of 9787680 is 867879.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9595 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (265356).

Almost surely, 2^9787680 is an apocalyptic number.

9787680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632).

9787680 is an abundant number, since it is smaller than the sum of its proper divisors (28423584).

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

9787680 is a wasteful number, since it uses less digits than its factorization.

9787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 9787680 is about 3128.5268098580. The cubic root of 9787680 is about 213.9077833674.

The spelling of 9787680 in words is "nine million, seven hundred eighty-seven thousand, six hundred eighty".