673980000 has 240 divisors, whose sum is σ = 2267274240. Its totient is φ = 175168000.

The previous prime is 673979993. The next prime is 673980007. The reversal of 673980000 is 89376.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (673979993) and next prime (673980007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673980007) 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 39 ways as a sum of consecutive naturals, for example, 2819881 + ... + 2820119.

It is an arithmetic number, because the mean of its divisors is an integer number (9446976).

Almost surely, 2^673980000 is an apocalyptic number.

673980000 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 673980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133637120).

673980000 is an abundant number, since it is smaller than the sum of its proper divisors (1593294240).

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

673980000 is a wasteful number, since it uses less digits than its factorization.

673980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 673980000 is about 25961.1247830290. The cubic root of 673980000 is about 876.7632471452.

The spelling of 673980000 in words is "six hundred seventy-three million, nine hundred eighty thousand".