749328000 has 256 divisors, whose sum is σ = 2531917440. Its totient is φ = 195993600.

The previous prime is 749327993. The next prime is 749328029. The reversal of 749328000 is 823947.

It is a super-2 number, since 2×749328000² = 1122984903168000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3215884 + ... + 3216116.

Almost surely, 2^749328000 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 749328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265958720).

749328000 is an abundant number, since it is smaller than the sum of its proper divisors (1782589440).

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

749328000 is a wasteful number, since it uses less digits than its factorization.

749328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 749328000 is about 27373.8561404856. The cubic root of 749328000 is about 908.2888586553.

The spelling of 749328000 in words is "seven hundred forty-nine million, three hundred twenty-eight thousand".