Several times a day for a few days this week the Earth completely blocked the Sun for about an hour due to SDO's orbital path (Aug. 25, 2016). The edge of the Earth is not crisp, but rather kind of fuzzy due to Earth's atmosphere. The entire video clip here shows the beginning of one such eclipse, covering just seven minutes. These occur about every six months. The Moon blocks SDO's view of the Sun on occasion as well.
A movie is available at http://photojournal.jpl.nasa.gov/catalog/PIA21027