744744 has 128 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 172800.

The previous prime is 744739. The next prime is 744761. The reversal of 744744 is 447447.

744744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

744744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24009 + ... + 24039.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁷⁴⁴⁷⁴⁴ 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 744744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240).

744744 is an abundant number, since it is smaller than the sum of its proper divisors (1835736).

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

744744 is a wasteful number, since it uses less digits than its factorization.

744744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its digits is 12544, while the sum is 30.

The square root of 744744 is about 862.9855155216. The cubic root of 744744 is about 90.6432922251.

The spelling of 744744 in words is "seven hundred forty-four thousand, seven hundred forty-four", and thus it is an iban number.