Although oranges are a very healthy food to eat, providing many benefits, and some antioxidants, they are not among the foods listed high in antioxidants, such as pomegranates. or even spinach. A typical orange supplies approximately 750 antioxidants per 100 grams of fruit consumed. The anthocyanins in blood oranges don't add much more.
According to the Linus Pauling Institute, and the European Food Safety Authority, dietary anthocyanins have little, or no direct antioxidant food value, following digestion. They found that "anthocyanins are indeed powerful antioxidants in vitro, but it is unlikely this antioxidant property is conserved after the plant is consumed". - Millet (848-)