784

Number
$784$ (seven hundred and eighty-four) is:
 * $2^4 \times 7^2$


 * The $28$th square number after $1, 4, 9, 16, 25, 36, \ldots, 361, 400, 441, 484, 529, 576, 625, 676, 729$:
 * $784 = 28 \times 28$


 * The $12$th even integer after $2, 4, 94, 96, 98, 400, 402, 404, 514, 516, 518$ that cannot be expressed as the sum of $2$ prime numbers which are each one of a pair of twin primes.


 * The $26$th positive integer which cannot be expressed as the sum of a square and a prime:
 * $1, 10, 25, 34, 58, 64, 85, 91, 121, 130, 169, 196, 214, 226, 289, 324, 370, 400, 526, 529, 625, 676, 706, 730, 771, 784, \ldots$