9900800 has 216 divisors, whose sum is σ = 31935456. Its totient is φ = 2949120.

The previous prime is 9900799. The next prime is 9900827. The reversal of 9900800 is 80099.

It is a happy number.

It is a hoax number, since the sum of its digits (26) 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 9900800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582392 + ... + 582408.

Almost surely, 2^9900800 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 9900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15967728).

9900800 is an abundant number, since it is smaller than the sum of its proper divisors (22034656).

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

9900800 is a wasteful number, since it uses less digits than its factorization.

9900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 9900800 is about 3146.5536702875. The cubic root of 9900800 is about 214.7287005284.

Adding to 9900800 its reverse (80099), we get a palindrome (9980899).

The spelling of 9900800 in words is "nine million, nine hundred thousand, eight hundred".