786 (number)


title: "786 (number)" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["integers"] topic_path: "general/integers" source: "https://en.wikipedia.org/wiki/786_(number)" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0

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| number = 786 786 (seven hundred [and] eighty-six) is the natural number following 785 and preceding 787.

In mathematics

786 is:

  • a sphenic number.
  • a harshad number in bases 4, 5, 7, 14 and 16.
  • the aliquot sum of 510.
  • part of the 321329-aliquot tree. The complete aliquot sequence starting at 498 is: 498, 510, 786, 798, 1122, 1470, 2634, 2646, 4194, 4932, 7626, 8502, 9978, 9990, 17370, 28026, 35136, 67226, 33616, 37808, 40312, 35288, 37072, 45264, 79728, 146448, 281166, 281178, 363942, 424638, 526338, 722961, 321329, 1, 0

786 might be the largest n for which the value of the central binomial coefficient {}_{2n}!C_n is not divisible by an odd prime squared. If there is a larger such number, it would have to be at least 157450 (see ).

In other fields

In culture

::figure[src="https://upload.wikimedia.org/wikipedia/commons/0/0f/Coin_navab.jpg" caption="Ancient Indian coin from the Nawab period, with the Islamic crescent symbol and the inscription "786""] ::

Indian Muslims associate the number with the basmala by summing up of all the numerical values of each Arabic letter making up the phrase. This auspiciousness has led it to often feature in films from the country.

References

References

  1. (2020). "The Oxford Handbook of Qur'anic Studies". Oxford University Press.
  2. "Khiladi 786 Movie Review {3/5}: Critic Review of Khiladi 786 by Times of India".

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integers