It can be viewed as an augmented triad with an additional major seventh.
For example, the augmented major seventh chord built on A♭, written as e.g. A♭+Δ7, has pitches A♭-C-E-G: The chord can be represented by the integer notation {0, 4, 8, 11}.
The augmented major seventh chord is associated with the augmented scale[1] (see jazz scale and chord-scale system).
For example, the third mode of the A melodic minor scale outlines an augmented major seventh chord, as shown below.
As with dominant seventh chords, nondominant seventh chords including the augmented major seventh usually progress according to the circle, thus III+M7 resolves to vi or VI.