9788100 has 144 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 2171520.

The previous prime is 9788089. The next prime is 9788101. The reversal of 9788100 is 18879.

9788100 is a nontrivial binomial coefficient, being equal to C(4425, 2).

It is a super-2 number, since 2×9788100² = 191613803220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9788101) 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 47 ways as a sum of consecutive naturals, for example, 123861 + ... + 123939.

Almost surely, 2^9788100 is an apocalyptic number.

9788100 is the 4424-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9788100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

9788100 is an abundant number, since it is smaller than the sum of its proper divisors (23543100).

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

9788100 is a wasteful number, since it uses less digits than its factorization.

9788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 9788100 is about 3128.5939333829. The cubic root of 9788100 is about 213.9108429955.

The spelling of 9788100 in words is "nine million, seven hundred eighty-eight thousand, one hundred".