All available evidence suggests that humans evolved in Africa, and from a small population, grew and expanded to other areas of the world in a series of migrations out of Africa. When populations were subject to the rigors of the environment into which they lived, some phenotypes were more advantageous than others -- for example, as UV intensity decreased as they moved further from the equator, mutations resulting in lighter skin conferred better survivability and reproductive output for those individuals who possessed them.
Populations remaining in Africa continued to change through this time -- so it is incorrect to say that some populations evolved "more" than others. Based on genetic research of existing populations across the globe, the San people of southern Africa are believed to represent the earliest separation from the rest, and these people show a collection of traits that one could easily imagine being morphed with a few genetic changes into the variety found among people of the world today. Their language is also rather distinct from most others, providing further evidence of an early split.
However, as people have continued to move around and intermarry, there has not been enough time for any population to be totally reproductively isolated from others to allow for enough genetic differences to be properly classified into "races." While differences can be found between individuals selected at widely disparate points across the world, these differences become clinal as one progresses across areas between these points.
And as far as total number of genetic differences, there is more variation found between two individuals of any one "race" than are differences between any two "races." In other words, if we say that the number of genes that differ solely to cause a man from China to look different from a man from Spain is 20 (hypothetically), the number of genes that differ between any two randomly selected men from China (or between any two randomly selected men from Spain) would be something like 2,000. This would happen because of migration of populations and individuals, intermarriage, no concept of "border zones", and natural selection favoring those few genes that would result in the "typical Chinese phenotype" (as if there was just one) for people living in China.
Because of our intelligence, there are no natural boundaries which have not been crossed which would otherwise have separated our species into reproductively isolated populations -- something necessary for genetic variation to accumulate between populations to the degree required for the biological concept of "races" to be satisfied. There would need to be something like a river, or mountain range, or some other such natural boundary which found one "race" on one side, and another "race" on the other. But because humans recognize each other as potential mates regardless of "race", and because we are not completely prevented from crossing such natural features, such divisions have not occurred.