Abstract: The existence limit of nuclei and the origin of the heavy elements are fundamental problems in modern science. The relativistic density functional theory starts from a universal density functional and has achieved great successes in describing many nuclear phenomena. In this talk, the predictive power of PC-PK1 is demonstrated, physics around the neutron drip line and N=Z nuclei are discussed, the DRHBc mass table collaboration is introduced. The quasiparticle finite amplitude method based on DRHBc theory has been developed for the nuclear level density , gamma strength function, Neutron capture rates and beta-decay lifetimes. Relativistic density functional theory in 3D lattice and its time-dependent version for Linear-chain, Chiral dynamics, Fission, etc. are briefly mentioned.