673108800 has 672 divisors, whose sum is σ = 2878482432. Its totient is φ = 133816320.

The previous prime is 673108789. The next prime is 673108853. The reversal of 673108800 is 8801376.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10046367 + ... + 10046433.

It is an arithmetic number, because the mean of its divisors is an integer number (4283456).

Almost surely, 2^673108800 is an apocalyptic number.

673108800 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 673108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439241216).

673108800 is an abundant number, since it is smaller than the sum of its proper divisors (2205373632).

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

673108800 is a wasteful number, since it uses less digits than its factorization.

673108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 673108800 is about 25944.3404232985. The cubic root of 673108800 is about 876.3853103647.

The spelling of 673108800 in words is "six hundred seventy-three million, one hundred eight thousand, eight hundred".