744930000 has 400 divisors, whose sum is σ = 2789107200. Its totient is φ = 190080000.

The previous prime is 744929981. The next prime is 744930019. The reversal of 744930000 is 39447.

744930000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (744929981) and next prime (744930019).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8369956 + ... + 8370044.

It is an arithmetic number, because the mean of its divisors is an integer number (6972768).

Almost surely, 2^744930000 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 744930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394553600).

744930000 is an abundant number, since it is smaller than the sum of its proper divisors (2044177200).

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

744930000 is a wasteful number, since it uses less digits than its factorization.

744930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 744930000 is about 27293.4057970053. The cubic root of 744930000 is about 906.5083765861.

Adding to 744930000 its reverse (39447), we get a palindrome (744969447).

The spelling of 744930000 in words is "seven hundred forty-four million, nine hundred thirty thousand".