How can I generate unique or random order numbers for customers?

Shopify’s issuance of order #'s that are displayed on order confirmations, invoices, etc are auto-issued in a sequential manner. Is there any way to obfuscate this to appear unique/random to our customers?

We are OK with storing the actual auto-issued sequential integer order #'s in our database, BUT must have an encoded, seemingly random, value displayed and exposed to the customer/interface.

Thank you!!

Thanks Natalie! Do you have any suggestions for 3rd party apps or how to integrate such code?