8004480 has 128 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 1935360.

The previous prime is 8004463. The next prime is 8004487. The reversal of 8004480 is 844008.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8004480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20931 + ... + 21309.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 2^8004480 is an apocalyptic number.

8004480 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 8004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

8004480 is an abundant number, since it is smaller than the sum of its proper divisors (19902720).

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

8004480 is a wasteful number, since it uses less digits than its factorization.

8004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8004480 is about 2829.2189734978. The cubic root of 8004480 is about 200.0373263666.

Adding to 8004480 its reverse (844008), we get a palindrome (8848488).

The spelling of 8004480 in words is "eight million, four thousand, four hundred eighty".