9787920 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 2455552.

The previous prime is 9787901. The next prime is 9787931. The reversal of 9787920 is 297879.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2881 + ... + 5279.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^9787920 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 9787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

9787920 is an abundant number, since it is smaller than the sum of its proper divisors (22352880).

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

9787920 is a wasteful number, since it uses less digits than its factorization.

9787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 9787920 is about 3128.5651663342. The cubic root of 9787920 is about 213.9095317370.

The spelling of 9787920 in words is "nine million, seven hundred eighty-seven thousand, nine hundred twenty".