9789000 has 128 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2400000.

The previous prime is 9788981. The next prime is 9789001. The reversal of 9789000 is 9879.

It is not an unprimeable number, because it can be changed into a prime (9789001) 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 31 ways as a sum of consecutive naturals, for example, 38875 + ... + 39125.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^9789000 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 9789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

9789000 is an abundant number, since it is smaller than the sum of its proper divisors (23233080).

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

9789000 is a wasteful number, since it uses less digits than its factorization.

9789000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 9789000 is about 3128.7377646585. The cubic root of 9789000 is about 213.9173990469.

The spelling of 9789000 in words is "nine million, seven hundred eighty-nine thousand".