844483680 has 144 divisors (see below), whose sum is σ = 2893441824. Its totient is φ = 224286720.

The previous prime is 844483669. The next prime is 844483699. The reversal of 844483680 is 86384448.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 403597 + ... + 405683.

It is an arithmetic number, because the mean of its divisors is an integer number (20093346).

Almost surely, 2^844483680 is an apocalyptic number.

844483680 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 844483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446720912).

844483680 is an abundant number, since it is smaller than the sum of its proper divisors (2048958144).

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

844483680 is a wasteful number, since it uses less digits than its factorization.

844483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 844483680 is about 29060.0013764625. The cubic root of 844483680 is about 945.2145981101.

The spelling of 844483680 in words is "eight hundred forty-four million, four hundred eighty-three thousand, six hundred eighty".