9750400 has 96 divisors (see below), whose sum is σ = 26371080. Its totient is φ = 3532800.

The previous prime is 9750397. The next prime is 9750407. The reversal of 9750400 is 40579.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9750407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35062 + ... + 35338.

Almost surely, 2^9750400 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 9750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185540).

9750400 is an abundant number, since it is smaller than the sum of its proper divisors (16620680).

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

9750400 is a wasteful number, since it uses less digits than its factorization.

9750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 9750400 is about 3122.5630498038. The cubic root of 9750400 is about 213.6358555210.

Adding to 9750400 its reverse (40579), we get a palindrome (9790979).

The spelling of 9750400 in words is "nine million, seven hundred fifty thousand, four hundred".