The **customer service phone number for HP Instant Ink** is **1-855-785-2777**. You can call this number for assistance with the Instant Ink service, your account, billing questions, or technical support related to the Instant Ink program[2][4][5].

Additional useful context:
– HP Instant Ink is a subscription ink service that works with most HP Wi-Fi printers under 5 years old[5].
– For general HP support, there are other phone numbers depending on region and type of support, but for Instant Ink specifically, the main designated support number is the one above[1][4].
– You can also manage your Instant Ink subscription online through the HP Instant Ink dashboard at https://hpinstantink.com/signin[2].

If you experience issues like ink not arriving or printer communication problems related to Instant Ink, calling **1-855-785-2777** will connect you to the proper support team[3].