An interbody spacer includes an elongated body with a maximum width between opposite side walls and a maximum height between upper and lower bearing surfaces. The interbody spacer also includes a leading end nose connecting the side walls to facilitate insertion of the interbody spacer into a disc space between vertebrae in an insertion orientation, from which the interbody device is then rotated to position the upper and lower bearing surfaces in contact with the endplates of the adjacent vertebrae. The leading end nose forms a blunt convex nose between the upper and lower bearing surfaces to maximize the bearing surface area available to contact the adjacent endplates.