The Sony DSC-W710 has a fairly big digital zoom (20 times zoom factor) compared to most of the other cameras of a comparable type and age to this camera. Cameras of a similar age and spec to this digital camera have digital zooms of between 1x and 120x, and the average digital zoom is 6.6x.
Alternative 20x digital zoom digital cameras currently available which you might want to consider include the Sony DSC-H70R which has better reviews.
If you are looking for a camera with a bigger digital zoom then you might want to consider the DSC-WX80 (32x and higher rated), or the DSC-W730 (32x and higher rated) both from Sony or the Samsung 250F (90x and higher rated).
What does "digital zoom" mean?