# 786 (number)

 ← 785 786 787 →
Cardinalseven hundred eighty-six
Ordinal786th
(seven hundred and eighty-sixth)
Factorization2 × 3 × 131
Roman numeralDCCLXXXVI
Binary11000100102
Ternary10020103
Quaternary301024
Quinary111215
Senary33506
Octal14228
Duodecimal55612
Vigesimal1J620
Base 36LU36

For the year, see 786.
 ← 785 786 787 →
Cardinalseven hundred eighty-six
Ordinal786th
(seven hundred and eighty-sixth)
Factorization2 × 3 × 131
Roman numeralDCCLXXXVI
Binary11000100102
Ternary10020103
Quaternary301024
Quinary111215
Senary33506
Octal14228
Duodecimal55612
Vigesimal1J620
Base 36LU36

786 is the integer coming after 785 and before 787.

## In mathematics

786 is a sphenic number. 50 can be partitioned into powers of two in 786 different ways (sequence A000123 in OEIS).

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 religion

The Arabic letters of the opening phrase of the Qur'an sum to the numerical value 786 in the system of Abjad numerals. Muslims on the Indian subcontinent use 786 as an abbreviation for the phrase 'bism illāh ir-raḥmān ir-raḥīm' (بسم الله الرحمن الرحيم) which means 'in the name of Allah, the compassionate, the merciful'. It is used in South Asia and places with significant Muslim communities of South Asian descent, particularly Myanmar.[citation needed]

Further information: Basmala: Numerology

## Area code

786 is a United States area code in Miami-Dade County. As an overlay area code, it shares geography with other codes in order to increase the area's pool of usable numbers, bringing ten-digit dialing to the Florida Keys.