Panasonic FZ1000 has a 20.0MP 1 (13.2 x 8.8 mm ) sized CMOS sensor and features Venus Engine processor. On the other hand, Fujifilm F770EXR has a 16.0MP 1/2" (6.4 x 4.8 mm ) sized EXRCMOS sensor and features EXR processor.
Below you can see the FZ1000 and F770EXR sensor size comparison.
As seen above, Panasonic FZ1000 has a 3.8x Larger sensor area than Fujifilm F770EXR. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.