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

50 can be partitioned into powers of two in 786 different ways (sequence A000123 in the OEIS).

786 might be the largest n for which the value of the central binomial coefficient ${\displaystyle {}_{2n}\!C_{n}}$ is not divisible by an odd prime squared. If there is a larger such number, it would have to be at least 157450 (see OEIS: A059097).

Area code

786 is a United States telephone area code in Miami-Dade County. As an overlay area code, it shares the same geographic numbering plan area with other codes for a larger pool of telephone numbers.

In other fields

• 80786 - 7th generation x86 like Athlon and Intel Pentium 4
• The USSD code 786, typically dialed as ##786# or *#786#, opens the RTN dialog on some cell phones. "RTN" is 786 when dialed on an E.161 telephone pad.
• In the New General Catalogue, NGC786 is a magnitude 13.5 spiral galaxy in the constellation Aries. Additionally, 786 Bredichina is an asteroid.
• In juggling, 786 as fourhanded Siteswap is also known as French threecount.

In films

The number is often featured in films, mostly due to its auspiciousness in Islamic culture.

• Vijay Verma's (Amitabh Bachchan) coolie number in the 1975 Hindi film Deewaar.
  • Raja's (Rajnikanth) coolie number in the 1981 Tamil film Thee, a remake of Deewaar.
• Iqbal Khan's (Amitabh Bachchan) coolie number in the 1983 Hindi film Coolie.
  • Bachchan has indicated that he believes the number is auspicious, as he survived a serious injury while wearing this number during the shooting of Coolie.
• Chiranjeevi sported this number in the 1988 Telugu film Khaidi No.786.
• Veer Pratap Singh's (Shahrukh Khan) prisoner number in the 2004 Hindi film Veer-Zaara.
• Sultan's (Ajay Devgan) car in the 2010 Hindi film Once Upon a Time in Mumbaai bears the registration number MRH 786.
• In the 2011 Tamil film Mankatha, in the scene where Vinayak Mahadev (Ajith Kumar) shoots Prem (Premgi Amaren), Prem wears has a gold plate on his chest with the number 786 written on it.
• Ashish R Mohan's 2012 Hindi film Khiladi 786 features Akshay Kumar in the title role. The same film was released in Pakistan without the number 786.^[1]

References

External links

Wikimedia Commons has media related to 786 (number).

• e-786.com Permissible to write 786
• United Submitters analysis of 786