792

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Number

$792$ (seven hundred and ninety-two) is:

$2^3 \times 3^2 \times 11$

The $5$th in a sequence of $6$ consecutive integers which are divisible by the corresponding term in the sequence of the first $6$ primes:

$792 = 11 \times 72$

The $8$th tri-automorphic number after $2$, $5$, $7$, $67$, $75$, $92$, $667$:

$792^2 \times 3 = 1 \, 881 \, \mathbf {792}$

The number of integer partitions for $21$:

$\map p {21} = 792$

Also see

• Previous  ... Next: Integer Partition
• Previous  ... Next: Tri-Automorphic Number
• Previous  ... Next: Sequence of Numbers Divisible by Sequence of Primes

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $788$