744744960 has 144 divisors (see below), whose sum is σ = 2581471620. Its totient is φ = 198574080.

The previous prime is 744744947. The next prime is 744744983. The reversal of 744744960 is 69447447.

It can be written as a sum of positive squares in 2 ways, for example, as 727704576 + 17040384 = 26976^2 + 4128^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 88120 + ... + 96200.

Almost surely, 2^744744960 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 744744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290735810).

744744960 is an abundant number, since it is smaller than the sum of its proper divisors (1836726660).

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

744744960 is a wasteful number, since it uses less digits than its factorization.

744744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8114 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 744744960 is about 27290.0157566829. The cubic root of 744744960 is about 906.4333117251.

The spelling of 744744960 in words is "seven hundred forty-four million, seven hundred forty-four thousand, nine hundred sixty".