8000480 has 48 divisors (see below), whose sum is σ = 19522944. Its totient is φ = 3095040.

The previous prime is 8000479. The next prime is 8000507. The reversal of 8000480 is 840008.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 4154 + ... + 5766.

It is an arithmetic number, because the mean of its divisors is an integer number (406728).

Almost surely, 2^8000480 is an apocalyptic number.

8000480 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 8000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761472).

8000480 is an abundant number, since it is smaller than the sum of its proper divisors (11522464).

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

8000480 is a wasteful number, since it uses less digits than its factorization.

8000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8000480 is about 2828.5119762872. The cubic root of 8000480 is about 200.0039999200.

Adding to 8000480 its reverse (840008), we get a palindrome (8840488).

The spelling of 8000480 in words is "eight million, four hundred eighty", and thus it is an aban number.