I hope you're having a great weekend, s_fine100-yahoo-.
I'll show a way on how you can include the invoice number and other details in the receive payment.
When printing the customer payment, it uses the Standard template, which defaults to Airy New. This template will only display the basic information like the invoice date and payment.
What you can do is select a different template other than the Airy New.
Here's how:
Go to the Gear > Custom Form Styles.
Click the Edit link of the Standard template.
From the Design tab, select the Change up the template and choose the any template aside from Airy New.
Hit Done.
After the steps, open the customer's payment and print it again.
To see the comparison, you can check out this sample screenshot:
To learn more about printing customising the sales forms, you can read these articles: