844116000 has 384 divisors, whose sum is σ = 3407878656. Its totient is φ = 177868800.

The previous prime is 844115981. The next prime is 844116023. The reversal of 844116000 is 611448.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091614 + ... + 1092386.

It is an arithmetic number, because the mean of its divisors is an integer number (8874684).

Almost surely, 2^844116000 is an apocalyptic number.

844116000 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 844116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703939328).

844116000 is an abundant number, since it is smaller than the sum of its proper divisors (2563762656).

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

844116000 is a wasteful number, since it uses less digits than its factorization.

844116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 844116000 is about 29053.6744664079. The cubic root of 844116000 is about 945.0773991083.

Adding to 844116000 its reverse (611448), we get a palindrome (844727448).

The spelling of 844116000 in words is "eight hundred forty-four million, one hundred sixteen thousand".