8305280 has 64 divisors (see below), whose sum is σ = 20930400. Its totient is φ = 3142656.

The previous prime is 8305273. The next prime is 8305307. The reversal of 8305280 is 825038.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11819 + ... + 12501.

Almost surely, 2^8305280 is an apocalyptic number.

8305280 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 8305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465200).

8305280 is an abundant number, since it is smaller than the sum of its proper divisors (12625120).

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

8305280 is a wasteful number, since it uses less digits than its factorization.

8305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 8305280 is about 2881.8882698675. Note that the first 3 decimals coincide. The cubic root of 8305280 is about 202.5123093671.

The spelling of 8305280 in words is "eight million, three hundred five thousand, two hundred eighty".