8005280 has 24 divisors (see below), whose sum is σ = 18912852. Its totient is φ = 3202048.

The previous prime is 8005271. The next prime is 8005301. The reversal of 8005280 is 825008.

It can be written as a sum of positive squares in 2 ways, for example, as 6948496 + 1056784 = 2636^2 + 1028^2 .

8005280 is a modest number, since divided by 5280 gives 800 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24857 + ... + 25176.

Almost surely, 2^8005280 is an apocalyptic number.

8005280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8005280 is an abundant number, since it is smaller than the sum of its proper divisors (10907572).

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

8005280 is a wasteful number, since it uses less digits than its factorization.

8005280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50048 (or 50040 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 8005280 is about 2829.3603517403. The cubic root of 8005280 is about 200.0439903235.

The spelling of 8005280 in words is "eight million, five thousand, two hundred eighty".