844341120 has 384 divisors, whose sum is σ = 3416624640. Its totient is φ = 188116992.

The previous prime is 844341107. The next prime is 844341143. The reversal of 844341120 is 21143448.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733517 + ... + 1734003.

It is an arithmetic number, because the mean of its divisors is an integer number (8897460).

Almost surely, 2^844341120 is an apocalyptic number.

844341120 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 844341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708312320).

844341120 is an abundant number, since it is smaller than the sum of its proper divisors (2572283520).

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

844341120 is a wasteful number, since it uses less digits than its factorization.

844341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 844341120 is about 29057.5484168916. The cubic root of 844341120 is about 945.1614068803.

Adding to 844341120 its reverse (21143448), we get a palindrome (865484568).

The spelling of 844341120 in words is "eight hundred forty-four million, three hundred forty-one thousand, one hundred twenty".