I really depends on the format of 360 video you are wanting to use. There are many ways to do 360 video.
The simplest format is just projection mapping and warping a 2D video (Monoscopic, Side By Side, Top Bottom), and de-warping that video at the client side.
AMS can do 360 videos, you just have to upload a pre-warped video that can be then streamed over HLS or DASH to a browser client that is going to do the unwarping and view tracking.
An example of this is the Babylon.js player plugin that they built for the Azure Media Player - https://doc.babylonjs.com/extensions/amp360Video
That code is rather old, but the idea is still the same.
Theo player is a commercial player engine that also supports 360 videos - http://demo.theoplayer.com/vr-and-360