744872960 has 264 divisors, whose sum is σ = 2096390016. Its totient is φ = 252149760.

The previous prime is 744872927. The next prime is 744872977. The reversal of 744872960 is 69278447.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24028145 + ... + 24028175.

Almost surely, 2^744872960 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 744872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048195008).

744872960 is an abundant number, since it is smaller than the sum of its proper divisors (1351517056).

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

744872960 is a wasteful number, since it uses less digits than its factorization.

744872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 744872960 is about 27292.3608359555. The cubic root of 744872960 is about 906.4852385921.

It can be divided in two parts, 7448 and 72960, that added together give a palindrome (80408).

The spelling of 744872960 in words is "seven hundred forty-four million, eight hundred seventy-two thousand, nine hundred sixty".