676744000 has 112 divisors (see below), whose sum is σ = 1734342480. Its totient is φ = 261273600.

The previous prime is 676743967. The next prime is 676744001. The reversal of 676744000 is 447676.

It can be written as a sum of positive squares in 8 ways, for example, as 31990336 + 644753664 = 5656^2 + 25392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676744001) 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 15 ways as a sum of consecutive naturals, for example, 230542 + ... + 233458.

Almost surely, 2^676744000 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 676744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867171240).

676744000 is an abundant number, since it is smaller than the sum of its proper divisors (1057598480).

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

676744000 is a wasteful number, since it uses less digits than its factorization.

676744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 676744000 is about 26014.3037577407. The cubic root of 676744000 is about 877.9601512971.

The spelling of 676744000 in words is "six hundred seventy-six million, seven hundred forty-four thousand".