844834320 has 480 divisors, whose sum is σ = 3368891520. Its totient is φ = 192844800.

The previous prime is 844834313. The next prime is 844834337. The reversal of 844834320 is 23438448.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22833342 + ... + 22833378.

It is an arithmetic number, because the mean of its divisors is an integer number (7018524).

Almost surely, 2^844834320 is an apocalyptic number.

844834320 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 844834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684445760).

844834320 is an abundant number, since it is smaller than the sum of its proper divisors (2524057200).

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

844834320 is a wasteful number, since it uses less digits than its factorization.

844834320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 844834320 is about 29066.0337851589. The cubic root of 844834320 is about 945.3454015796.

The spelling of 844834320 in words is "eight hundred forty-four million, eight hundred thirty-four thousand, three hundred twenty".