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720 (number)

FieldValue
number720
divisor1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

720 (seven hundred [and] twenty) is the natural number following 719 and preceding 721.

In mathematics

720 is:

  • 6! (6 factorial).
  • a composite number with 30 divisors, more than any number below, making it the 14th highly composite number.
  • a highly abundant number.
  • a Harshad number in every base from binary to decimal.
  • the smallest number to be palindromic in 16 bases.
  • a 241-gonal number.

720 is expressible as the product of consecutive integers in two different ways: and .

There are 49 solutions to the equation , more than any integer below it, making 720 a highly totient number.

In other fields

720 is:

  • A common vertical display resolution for HDTV (see 720p).
  • 720° is two full rotations; the term "720" refers to a skateboarding trick.
  • 720° is also the name of a skateboarding video game.
  • 720 is a dual area code in the Denver Metro Area along with 303.
  • 720° is the sum of all the defects of any polyhedron.
  • 720 is a short form of saying Boeing 720, an airliner which is no longer in service.

For the year AD, see 720.

References

References

  1. {{cite OEIS. A002182. Highly composite numbers
  2. {{cite OEIS. A002093. Highly abundant numbers: numbers k such that sigma(k) > sigma(m) for all m < k
  3. {{cite OEIS. A037183. Smallest number that is palindromic (with at least 2 digits) in n bases
  4. Wells, David. (1987). "[[The Penguin Dictionary of Curious and Interesting Numbers]]". Penguin Books.
  5. {{cite OEIS. A097942
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