8225280 has 320 divisors, whose sum is σ = 35354880. Its totient is φ = 1769472.

The previous prime is 8225257. The next prime is 8225293. The reversal of 8225280 is 825228.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483832 + ... + 483848.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 2^8225280 is an apocalyptic number.

8225280 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 8225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

8225280 is an abundant number, since it is smaller than the sum of its proper divisors (27129600).

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

8225280 is a wasteful number, since it uses less digits than its factorization.

8225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8225280 is about 2867.9748952876. The cubic root of 8225280 is about 201.8599820450.

The spelling of 8225280 in words is "eight million, two hundred twenty-five thousand, two hundred eighty".