You could argue that the graphics display was simply a typing error. The ship was originaly slated to be NCC-71807, but when they decided to name her Yamato, they went with the other designation. Whoever entered it into computer somehow made a mistake.
The numbers on the hull are a bit more difficult to explain, except if you admit that they can't even be seen without freezing, zooming and what not.
To me it's NCC-1305-E. It's more plausible.