629980800 has 192 divisors, whose sum is σ = 2094508800. Its totient is φ = 166420480.

The previous prime is 629980751. The next prime is 629980811. The reversal of 629980800 is 8089926.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1314961 + ... + 1315439.

It is an arithmetic number, because the mean of its divisors is an integer number (10908900).

Almost surely, 2^629980800 is an apocalyptic number.

629980800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047254400).

629980800 is an abundant number, since it is smaller than the sum of its proper divisors (1464528000).

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

629980800 is a wasteful number, since it uses less digits than its factorization.

629980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 629980800 is about 25099.4183199532. The cubic root of 629980800 is about 857.2531794507.

The spelling of 629980800 in words is "six hundred twenty-nine million, nine hundred eighty thousand, eight hundred".