744816 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 243136.

The previous prime is 744811. The next prime is 744817. The reversal of 744816 is 618447.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744811) by changing a digit.

744816 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2701 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁷⁴⁴⁸¹⁶ 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 744816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

744816 is an abundant number, since it is smaller than the sum of its proper divisors (1219344).

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

744816 is a wasteful number, since it uses less digits than its factorization.

744816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 744816 is about 863.0272301614. The cubic root of 744816 is about 90.6462131871.

The spelling of 744816 in words is "seven hundred forty-four thousand, eight hundred sixteen".