8009280 has 168 divisors, whose sum is σ = 28846272. Its totient is φ = 2115072.

The previous prime is 8009237. The next prime is 8009291. The reversal of 8009280 is 829008.

It is a super-2 number, since 2×8009280² = 128297132236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77709 + ... + 77811.

It is an arithmetic number, because the mean of its divisors is an integer number (171704).

Almost surely, 2^8009280 is an apocalyptic number.

8009280 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 8009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423136).

8009280 is an abundant number, since it is smaller than the sum of its proper divisors (20836992).

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

8009280 is a wasteful number, since it uses less digits than its factorization.

8009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8009280 is about 2830.0671370128. The cubic root of 8009280 is about 200.0773034504.

The spelling of 8009280 in words is "eight million, nine thousand, two hundred eighty".