Virtual column to view project invoice status

I would like to view the invoicing status (i.e. whether a client invoice has been created) in a project view. I know that client invoices are created per task, not per project, and therefore this is task-level information that cannot usually be viewed at the project level. I don't have much experience in creating virtual columns and wondered if anyone knows if I might be able to create a project view column where it would display "Fully invoiced" if all tasks within the project have the status "invoiced" (i.e a client invoice has been created), "Partly invoiced" if some of the tasks within the project have the status "invoiced" and "Not invoiced" if none of the tasks within the project have the status "Invoiced"?