7947680 has 48 divisors (see below), whose sum is σ = 20226024. Its totient is φ = 2933760.

The previous prime is 7947679. The next prime is 7947683. The reversal of 7947680 is 867497.

It can be written as a sum of positive squares in 4 ways, for example, as 6574096 + 1373584 = 2564^2 + 1172^2 .

It is not an unprimeable number, because it can be changed into a prime (7947683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170 + ... + 3990.

Almost surely, 2^7947680 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 7947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113012).

7947680 is an abundant number, since it is smaller than the sum of its proper divisors (12278344).

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

7947680 is a wasteful number, since it uses less digits than its factorization.

7947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 7947680 is about 2819.1629963519. The cubic root of 7947680 is about 199.5630460515.

The spelling of 7947680 in words is "seven million, nine hundred forty-seven thousand, six hundred eighty".