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78 (number)

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78 (seventy-eight) is the natural number following 77 and followed by 79.

In mathematics

78 is a triangular number, and its factorization makes it a sphenic number. As a multiple of a perfect number, 78 is itself a semiperfect number.

77 and 78 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.

Since it is possible to find sequences of 78 consecutive integers such that each inner member shares a factor with either the first or the last member, 78 is an Erdős–Woods number.
Karl A. Dahlke proved in 1989 that 78 heptominos of this shape ( ), at a minimum, are required to fill a rectangle.

In science

In astronomy

The New General Catalogue NGC 78, a magnitude 12.8 barred spiral galaxy in the constellation Pisces
The Saros of the solar eclipse series which began on -463 June 9 and ended on 817 July 18. The duration of Saros series 78 was 1280.1 years, and it contained 72 solar eclipses.
The Saros of the lunar eclipse series which began on -125 April 10 and ended on 1155 May 18. The duration of Saros series 78 was 1280.1 years, and it contained 72 lunar eclipses.

In sports

In other fields

78 is also:
  • The number of the French department Yvelines
  • The total number of gifts in the song The Twelve Days of Christmas (since 78 is the 12th triangular number)
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