630765600 has 72 divisors (see below), whose sum is σ = 2053149840. Its totient is φ = 168203520.

The previous prime is 630765571. The next prime is 630765601. The reversal of 630765600 is 6567036.

630765600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (630765601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129010 + ... + 133809.

It is an arithmetic number, because the mean of its divisors is an integer number (28515970).

Almost surely, 2^630765600 is an apocalyptic number.

630765600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630765600 is an abundant number, since it is smaller than the sum of its proper divisors (1422384240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

630765600 is a wasteful number, since it uses less digits than its factorization.

630765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262842 (or 262829 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 630765600 is about 25115.0472824560. The cubic root of 630765600 is about 857.6090067601.

The spelling of 630765600 in words is "six hundred thirty million, seven hundred sixty-five thousand, six hundred".