744369120 has 144 divisors (see below), whose sum is σ = 2771142192. Its totient is φ = 180449280.

The previous prime is 744369113. The next prime is 744369121. The reversal of 744369120 is 21963447.

744369120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744369121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7657 + ... + 39336.

It is an arithmetic number, because the mean of its divisors is an integer number (19244043).

Almost surely, 2^744369120 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 744369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385571096).

744369120 is an abundant number, since it is smaller than the sum of its proper divisors (2026773072).

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

744369120 is a wasteful number, since it uses less digits than its factorization.

744369120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47025 (or 47014 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 744369120 is about 27283.1288528277. The cubic root of 744369120 is about 906.2808070701.

The spelling of 744369120 in words is "seven hundred forty-four million, three hundred sixty-nine thousand, one hundred twenty".