9785880 has 256 divisors, whose sum is σ = 38102400. Its totient is φ = 2211840.

The previous prime is 9785851. The next prime is 9785887. The reversal of 9785880 is 885879.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9785887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238660 + ... + 238700.

Almost surely, 2^9785880 is an apocalyptic number.

9785880 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 9785880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

9785880 is an abundant number, since it is smaller than the sum of its proper divisors (28316520).

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

9785880 is a wasteful number, since it uses less digits than its factorization.

9785880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 9785880 is about 3128.2391212949. The cubic root of 9785880 is about 213.8946696838.

The spelling of 9785880 in words is "nine million, seven hundred eighty-five thousand, eight hundred eighty".