9976800 has 72 divisors (see below), whose sum is σ = 32482296. Its totient is φ = 2659840.

The previous prime is 9976789. The next prime is 9976801. The reversal of 9976800 is 86799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9976801) 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 11 ways as a sum of consecutive naturals, for example, 322 + ... + 4478.

It is an arithmetic number, because the mean of its divisors is an integer number (451143).

Almost surely, 2^9976800 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 9976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241148).

9976800 is an abundant number, since it is smaller than the sum of its proper divisors (22505496).

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

9976800 is a wasteful number, since it uses less digits than its factorization.

9976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 9976800 is about 3158.6072880306. The cubic root of 9976800 is about 215.2767303761.

The spelling of 9976800 in words is "nine million, nine hundred seventy-six thousand, eight hundred".