8812244800 has 84 divisors (see below), whose sum is σ = 22212664236. Its totient is φ = 3438899200.

The previous prime is 8812244773. The next prime is 8812244803. The reversal of 8812244800 is 84422188.

It can be written as a sum of positive squares in 6 ways, for example, as 1087944256 + 7724300544 = 32984^2 + 87888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8812244800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8812244803) 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, 1567 + ... + 132766.

It is an arithmetic number, because the mean of its divisors is an integer number (264436479).

Almost surely, 2^8812244800 is an apocalyptic number.

8812244800 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 8812244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106332118).

8812244800 is an abundant number, since it is smaller than the sum of its proper divisors (13400419436).

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

8812244800 is a wasteful number, since it uses less digits than its factorization.

8812244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134396 (or 134381 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 8812244800 is about 93873.5575122196. The cubic root of 8812244800 is about 2065.5173676850.

Adding to 8812244800 its reverse (84422188), we get a palindrome (8896666988).

The spelling of 8812244800 in words is "eight billion, eight hundred twelve million, two hundred forty-four thousand, eight hundred".