You can add company name, phone number, email, and address to an order invoice.
How to set company information in Invoice
Go to Settings > Checkout and go to "Invoice" section.
You can also add Tax ID to invoice. Tax ID can be found in Settings > General and "Regional" section
In order receipt and "Simple" invoice template it will show as below.
In "Standard" invoice template, it will show as below.
Please note that "Company information" will override "Store information" such as store name, store email, phone number, and address.