844864800 has 216 divisors, whose sum is σ = 2979278064. Its totient is φ = 207866880.

The previous prime is 844864763. The next prime is 844864871. The reversal of 844864800 is 8468448.

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, 404559 + ... + 406641.

It is an arithmetic number, because the mean of its divisors is an integer number (13792954).

Almost surely, 2^844864800 is an apocalyptic number.

844864800 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 844864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489639032).

844864800 is an abundant number, since it is smaller than the sum of its proper divisors (2134413264).

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

844864800 is a wasteful number, since it uses less digits than its factorization.

844864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 844864800 is about 29066.5581037728. The cubic root of 844864800 is about 945.3567701918.

The spelling of 844864800 in words is "eight hundred forty-four million, eight hundred sixty-four thousand, eight hundred".