7947280 has 60 divisors (see below), whose sum is σ = 20334636. Its totient is φ = 2886400.

The previous prime is 7947271. The next prime is 7947283. The reversal of 7947280 is 827497.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 5438224 = 1584^2 + 2332^2 .

It is not an unprimeable number, because it can be changed into a prime (7947283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9270 + ... + 10090.

Almost surely, 2^7947280 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 7947280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167318).

7947280 is an abundant number, since it is smaller than the sum of its proper divisors (12387356).

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

7947280 is a wasteful number, since it uses less digits than its factorization.

7947280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 7947280 is about 2819.0920524169. The cubic root of 7947280 is about 199.5596980490.

The spelling of 7947280 in words is "seven million, nine hundred forty-seven thousand, two hundred eighty".