8444080 has 40 divisors (see below), whose sum is σ = 19976400. Its totient is φ = 3318528.

The previous prime is 8444063. The next prime is 8444083. The reversal of 8444080 is 804448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (8444083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3826 + ... + 5614.

It is an arithmetic number, because the mean of its divisors is an integer number (499410).

Almost surely, 2^8444080 is an apocalyptic number.

8444080 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 8444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9988200).

8444080 is an abundant number, since it is smaller than the sum of its proper divisors (11532320).

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

8444080 is a wasteful number, since it uses less digits than its factorization.

8444080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 8444080 is about 2905.8699213833. The cubic root of 8444080 is about 203.6342285838.

The spelling of 8444080 in words is "eight million, four hundred forty-four thousand, eighty".