744768 has 56 divisors (see below), whose sum is σ = 2194560. Its totient is φ = 247680.

The previous prime is 744767. The next prime is 744791. The reversal of 744768 is 867447.

It is a happy number.

It is a Cunningham number, because it is equal to 863²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1513 + ... + 1943.

2⁷⁴⁴⁷⁶⁸ 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 744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097280).

744768 is an abundant number, since it is smaller than the sum of its proper divisors (1449792).

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

744768 is a wasteful number, since it uses less digits than its factorization.

744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 744768 is about 862.9994206255. Note that the first 3 decimals coincide. The cubic root of 744768 is about 90.6442659000.

The spelling of 744768 in words is "seven hundred forty-four thousand, seven hundred sixty-eight".