844124400 has 720 divisors, whose sum is σ = 3693930240. Its totient is φ = 174182400.

The previous prime is 844124329. The next prime is 844124417. The reversal of 844124400 is 4421448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 19630779 + ... + 19630821.

Almost surely, 2^844124400 is an apocalyptic number.

844124400 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 844124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846965120).

844124400 is an abundant number, since it is smaller than the sum of its proper divisors (2849805840).

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

844124400 is a wasteful number, since it uses less digits than its factorization.

844124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 844124400 is about 29053.8190260764. The cubic root of 844124400 is about 945.0805339949.

Adding to 844124400 its reverse (4421448), we get a palindrome (848545848).

The spelling of 844124400 in words is "eight hundred forty-four million, one hundred twenty-four thousand, four hundred".