9770233200 has 960 divisors, whose sum is σ = 43087242240. Its totient is φ = 1831403520.

The previous prime is 9770233171. The next prime is 9770233279. The reversal of 9770233200 is 23320779.

9770233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35271462 + ... + 35271738.

It is an arithmetic number, because the mean of its divisors is an integer number (44882544).

Almost surely, 2^9770233200 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 9770233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21543621120).

9770233200 is an abundant number, since it is smaller than the sum of its proper divisors (33317009040).

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

9770233200 is a wasteful number, since it uses less digits than its factorization.

9770233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 9770233200 is about 98844.4899830031. The cubic root of 9770233200 is about 2137.8060900190.

Adding to 9770233200 its reverse (23320779), we get a palindrome (9793553979).

The spelling of 9770233200 in words is "nine billion, seven hundred seventy million, two hundred thirty-three thousand, two hundred".