844801344 has 84 divisors (see below), whose sum is σ = 2467247796. Its totient is φ = 276277248.

The previous prime is 844801319. The next prime is 844801357. The reversal of 844801344 is 443108448.

It can be written as a sum of positive squares in 2 ways, for example, as 233722944 + 611078400 = 15288^2 + 24720^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 844801299 and 844801308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16692 + ... + 44364.

Almost surely, 2^844801344 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 844801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233623898).

844801344 is an abundant number, since it is smaller than the sum of its proper divisors (1622446452).

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

844801344 is a wasteful number, since it uses less digits than its factorization.

844801344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27744 (or 27731 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 844801344 is about 29065.4665195658. The cubic root of 844801344 is about 945.3331016865. Note that the first 3 decimals are identical.

The spelling of 844801344 in words is "eight hundred forty-four million, eight hundred one thousand, three hundred forty-four".