8912800 has 72 divisors (see below), whose sum is σ = 23459436. Its totient is φ = 3287040.

The previous prime is 8912791. The next prime is 8912801. The reversal of 8912800 is 82198.

It can be written as a sum of positive squares in 6 ways, for example, as 3732624 + 5180176 = 1932^2 + 2276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8912801) by changing a digit.

It is a nontrivial repunit in base 207.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9972 + ... + 10828.

Almost surely, 2^8912800 is an apocalyptic number.

8912800 is a gapful number since it is divisible by the number (80) 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 8912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11729718).

8912800 is an abundant number, since it is smaller than the sum of its proper divisors (14546636).

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

8912800 is a wasteful number, since it uses less digits than its factorization.

8912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 8912800 is about 2985.4312921251. The cubic root of 8912800 is about 207.3344108830.

Adding to 8912800 its reverse (82198), we get a palindrome (8994998).

The spelling of 8912800 in words is "eight million, nine hundred twelve thousand, eight hundred".