Final answer:
The number 5.78778777 is a rational number.
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction, where both the numerator and the denominator are integers. An irrational number, on the other hand, cannot be expressed as a fraction and has an infinite number of non-repeating decimal places.
In the case of 5.78778777, it is a rational number. This is because it can be expressed as the fraction 578778777/100000000, where both the numerator and the denominator are integers.