844716768 has 384 divisors, whose sum is σ = 2861236224. Its totient is φ = 212889600.

The previous prime is 844716739. The next prime is 844716779. The reversal of 844716768 is 867617448.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 844716768.

It is a congruent number.

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, 19644555 + ... + 19644597.

It is an arithmetic number, because the mean of its divisors is an integer number (7451136).

Almost surely, 2^844716768 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 844716768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430618112).

844716768 is an abundant number, since it is smaller than the sum of its proper divisors (2016519456).

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

844716768 is a wasteful number, since it uses less digits than its factorization.

844716768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 844716768 is about 29064.0115606913. The cubic root of 844716768 is about 945.3015537724.

The spelling of 844716768 in words is "eight hundred forty-four million, seven hundred sixteen thousand, seven hundred sixty-eight".