In the family of central composite designs, the orthogonal central composite is more efficient than the others, and the estimation of the coefficients is easily obtained. Inside the family of orthogonal central composite designs the rotatable orthogonal central composite have some additional advantages, regarding uniformity of variances of the points at the same distance from the center of the design. Putting together the conditions for rotatability, orthogonality and blocking, through the choice of an adequate number of points, designs are obtained that satisiy the three specifications and that may be divided in 2, 3 or 5 blocks. Some of them represent designs with orthogonality, near rotatability and very near orthogonal blocking (the covariances between the pure quadratic and the block coefficients are so small that, for practical purposes, the design can be analysed as if it was orthogonally blocked). In fertilizer experiments, orthogonality, rotatability and blocking are very important; the solutions presented may be useful for research workers interested in central composite designs with the characteristics pointed out and that are blockable. They present also the possibility of obtaining a precise estimate of the error and the test of adequacy of the model.