844412800 has 384 divisors, whose sum is σ = 2731968000. Its totient is φ = 250060800.

The previous prime is 844412791. The next prime is 844412809. The reversal of 844412800 is 8214448.

It is an interprime number because it is at equal distance from previous prime (844412791) and next prime (844412809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844412809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5667126 + ... + 5667274.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2^844412800 is an apocalyptic number.

844412800 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 844412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

844412800 is an abundant number, since it is smaller than the sum of its proper divisors (1887555200).

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

844412800 is a wasteful number, since it uses less digits than its factorization.

844412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 844412800 is about 29058.7818051618. The cubic root of 844412800 is about 945.1881524894.

The spelling of 844412800 in words is "eight hundred forty-four million, four hundred twelve thousand, eight hundred".