674200800 has 720 divisors, whose sum is σ = 3063397680. Its totient is φ = 142248960.

The previous prime is 674200789. The next prime is 674200823. The reversal of 674200800 is 8002476.

674200800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51861594 + ... + 51861606.

It is an arithmetic number, because the mean of its divisors is an integer number (4254719).

Almost surely, 2^674200800 is an apocalyptic number.

674200800 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 674200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531698840).

674200800 is an abundant number, since it is smaller than the sum of its proper divisors (2389196880).

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

674200800 is a wasteful number, since it uses less digits than its factorization.

674200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 674200800 is about 25965.3769470039. The cubic root of 674200800 is about 876.8589810386.

The spelling of 674200800 in words is "six hundred seventy-four million, two hundred thousand, eight hundred".