1782

Number
$1782$ (one thousand, seven hundred and eighty-two) is:
 * $2 \times 3^4 \times 11$


 * The $27$th heptagonal number after $1, 7, 18, 34, 55, 81, 112, \ldots, 874, 970, 1071, 1177, 1288, 1404, 1525, 1651$:
 * $1782 = \displaystyle \sum_{k \mathop = 1}^{27} \left({5 k - 4}\right) = \dfrac {27 \left({5 \times 27 - 3}\right)} 2$