22 × 3 × 5 × 13
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390 and 780
No.
Its nearest Fibonacci number neighbors are 610 and 987.