816

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Number

$816$ (eight hundred and sixteen) is:

$2^4 \times 3 \times 17$

The $16$th tetrahedral number, after $1$, $4$, $10$, $20$, $35$, $56$, $84$, $120$, $165$, $220$, $286$, $364$, $455$, $560$, $680$:

$816 = \ds \sum_{k \mathop = 1}^{16} \frac {k \paren {k + 1} } 2 = \dfrac {16 \paren {16 + 1} \paren {16 + 2} } 6$

The $34$th Zuckerman number after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $\ldots$, $216$, $224$, $312$, $315$, $384$, $432$, $612$, $624$, $672$, $735$:

$816 = 17 \times 48 = 17 \times \paren {8 \times 1 \times 6}$

Also see

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