9788800 has 192 divisors, whose sum is σ = 30355200. Its totient is φ = 3041280.

The previous prime is 9788773. The next prime is 9788809. The reversal of 9788800 is 88879.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9788809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425589 + ... + 425611.

It is an arithmetic number, because the mean of its divisors is an integer number (158100).

Almost surely, 2^9788800 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 9788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

9788800 is an abundant number, since it is smaller than the sum of its proper divisors (20566400).

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

9788800 is a wasteful number, since it uses less digits than its factorization.

9788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 9788800 is about 3128.7058027242. The cubic root of 9788800 is about 213.9159421813.

The spelling of 9788800 in words is "nine million, seven hundred eighty-eight thousand, eight hundred".