844125160 has 64 divisors (see below), whose sum is σ = 2003040000. Its totient is φ = 319272192.

The previous prime is 844125119. The next prime is 844125193. The reversal of 844125160 is 61521448.

844125160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 789106 + ... + 790174.

It is an arithmetic number, because the mean of its divisors is an integer number (31297500).

Almost surely, 2^844125160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001520000).

844125160 is an abundant number, since it is smaller than the sum of its proper divisors (1158914840).

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

844125160 is a wasteful number, since it uses less digits than its factorization.

844125160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 844125160 is about 29053.8321052490. The cubic root of 844125160 is about 945.0808176265.

The spelling of 844125160 in words is "eight hundred forty-four million, one hundred twenty-five thousand, one hundred sixty".