844880160 has 192 divisors, whose sum is σ = 2807820288. Its totient is φ = 213126144.

The previous prime is 844880159. The next prime is 844880189. The reversal of 844880160 is 61088448.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136749 + ... + 1137491.

It is an arithmetic number, because the mean of its divisors is an integer number (14624064).

Almost surely, 2^844880160 is an apocalyptic number.

844880160 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 844880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403910144).

844880160 is an abundant number, since it is smaller than the sum of its proper divisors (1962940128).

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

844880160 is a wasteful number, since it uses less digits than its factorization.

844880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 844880160 is about 29066.8223237422. The cubic root of 844880160 is about 945.3624991527.

The spelling of 844880160 in words is "eight hundred forty-four million, eight hundred eighty thousand, one hundred sixty".