7282080 has 144 divisors (see below), whose sum is σ = 26830440. Its totient is φ = 1787904.

The previous prime is 7282063. The next prime is 7282087. The reversal of 7282080 is 802827.

7282080 is digitally balanced in base 4, 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 3549456 + 3732624 = 1884^2 + 1932^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7282087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18526 + ... + 18914.

Almost surely, 2^7282080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415220).

7282080 is an abundant number, since it is smaller than the sum of its proper divisors (19548360).

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

7282080 is a wasteful number, since it uses less digits than its factorization.

7282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7282080 is about 2698.5329347629. The cubic root of 7282080 is about 193.8288780464.

It can be divided in two parts, 72820 and 80, that added together give a square (72900 = 270²).

The spelling of 7282080 in words is "seven million, two hundred eighty-two thousand, eighty".