9712800 has 216 divisors, whose sum is σ = 36560160. Its totient is φ = 2419200.

The previous prime is 9712799. The next prime is 9712811. The reversal of 9712800 is 82179.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136765 + ... + 136835.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^9712800 is an apocalyptic number.

9712800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

9712800 is an abundant number, since it is smaller than the sum of its proper divisors (26847360).

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

9712800 is a wasteful number, since it uses less digits than its factorization.

9712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 9712800 is about 3116.5365391729. The cubic root of 9712800 is about 213.3608905374.

Adding to 9712800 its reverse (82179), we get a palindrome (9794979).

The spelling of 9712800 in words is "nine million, seven hundred twelve thousand, eight hundred".