844008480 has 576 divisors, whose sum is σ = 3537451008. Its totient is φ = 179159040.

The previous prime is 844008463. The next prime is 844008497. The reversal of 844008480 is 84800448.

It is an interprime number because it is at equal distance from previous prime (844008463) and next prime (844008497).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11561724 + ... + 11561796.

It is an arithmetic number, because the mean of its divisors is an integer number (6141408).

Almost surely, 2^844008480 is an apocalyptic number.

844008480 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 844008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768725504).

844008480 is an abundant number, since it is smaller than the sum of its proper divisors (2693442528).

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

844008480 is a wasteful number, since it uses less digits than its factorization.

844008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 844008480 is about 29051.8240391202. The cubic root of 844008480 is about 945.0372707229.

The spelling of 844008480 in words is "eight hundred forty-four million, eight thousand, four hundred eighty".