755328000 has 352 divisors, whose sum is σ = 2881651968. Its totient is φ = 172032000.

The previous prime is 755327987. The next prime is 755328001. The reversal of 755328000 is 823557.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (755328001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687860 + ... + 2688140.

Almost surely, 2^755328000 is an apocalyptic number.

755328000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440825984).

755328000 is an abundant number, since it is smaller than the sum of its proper divisors (2126323968).

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

755328000 is a wasteful number, since it uses less digits than its factorization.

755328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 755328000 is about 27483.2312510738. The cubic root of 755328000 is about 910.7066925275.

It can be divided in two parts, 7553 and 28000, that added together give a palindrome (35553).

The spelling of 755328000 in words is "seven hundred fifty-five million, three hundred twenty-eight thousand".