673710080 has 80 divisors (see below), whose sum is σ = 1623194100. Its totient is φ = 268435456.

The previous prime is 673710077. The next prime is 673710091. The reversal of 673710080 is 80017376.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 629407744 + 44302336 = 25088^2 + 6656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 673710080 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2621312 + ... + 2621568.

Almost surely, 2^673710080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811597050).

673710080 is an abundant number, since it is smaller than the sum of its proper divisors (949484020).

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

673710080 is an frugal number, since it uses more digits than its factorization.

673710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 673710080 is about 25955.9257203437. The cubic root of 673710080 is about 876.6461875217.

The spelling of 673710080 in words is "six hundred seventy-three million, seven hundred ten thousand, eighty".