8088480 has 144 divisors (see below), whose sum is σ = 28481544. Its totient is φ = 2088960.

The previous prime is 8088469. The next prime is 8088497. The reversal of 8088480 is 848808.

8088480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 3370896 = 2172^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 58972 + ... + 59108.

Almost surely, 2^8088480 is an apocalyptic number.

8088480 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 8088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240772).

8088480 is an abundant number, since it is smaller than the sum of its proper divisors (20393064).

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

8088480 is a wasteful number, since it uses less digits than its factorization.

8088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8088480 is about 2844.0253163430. The cubic root of 8088480 is about 200.7346316114.

The spelling of 8088480 in words is "eight million, eighty-eight thousand, four hundred eighty".