844084480 has 72 divisors (see below), whose sum is σ = 2041072992. Its totient is φ = 334424064.

The previous prime is 844084477. The next prime is 844084499. The reversal of 844084480 is 84480448.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 133879 + ... + 140041.

It is an arithmetic number, because the mean of its divisors is an integer number (28348236).

Almost surely, 2^844084480 is an apocalyptic number.

844084480 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 844084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020536496).

844084480 is an abundant number, since it is smaller than the sum of its proper divisors (1196988512).

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

844084480 is a wasteful number, since it uses less digits than its factorization.

844084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 844084480 is about 29053.1320170477. The cubic root of 844084480 is about 945.0656356341.

It can be divided in two parts, 84408 and 4480, that added together give a palindrome (88888).

The spelling of 844084480 in words is "eight hundred forty-four million, eighty-four thousand, four hundred eighty".