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How much is 680?

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It's about 300 times the number of Escalators in the State of Wyoming.
In other words, the count of Escalators in the State of Wyoming is 0.003 times 680.
(2013 figures)
It's about 100 times the number of Living U.S. Presidents.
In other words, the count of Living U.S. Presidents is 0.01 times 680.
(a.k.a. Presidents of the United States; a.k.a. Presidents of the United States of America; a.k.a. POTUS), (2016 figures) (including current)
It's about 75 times the number of Symphonies Composed by Beethoven.
In other words, 680 is 75.55555555560 times the count of Symphonies Composed by Beethoven, and the count of Symphonies Composed by Beethoven is 0.0132352941176 times that amount.
(a.k.a. Ludwig van Beethoven)
It's about 45 times the number of Living Kings and Queens.
In other words, the count of Living Kings and Queens is 0.022 times 680.
(2015 figures) (distinct Monarchs)
It's about twenty times the number of Countries in the European Union.
In other words, the count of Countries in the European Union is 0.042 times 680.
(a.k.a. EU) (2016 figures)
It's about fourteen times the number of Teeth in a Great White Shark's Mouth.
In other words, the count of Teeth in a Great White Shark's Mouth is 0.071 times 680.
(Carcharodon carcharias) (average; including developing rows)
A Great White Shark has 48 exposed teeth on their upper and lower jaws. Behind these exposed teeth are developing teeth — up to 300 in about 5 rows. The sharks will continuously lose and replace the exposed teeth throughout their lives.
It's about thirteen times the number of Countries in Africa.
In other words, the count of Countries in Africa is 0.077 times 680.
(2016 figures) (sovereign states recognized by the UN only)