755383200 has 576 divisors, whose sum is σ = 3023806464. Its totient is φ = 161280000.

The previous prime is 755383199. The next prime is 755383229. The reversal of 755383200 is 2383557.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10639165 + ... + 10639235.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2^755383200 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 755383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511903232).

755383200 is an abundant number, since it is smaller than the sum of its proper divisors (2268423264).

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

755383200 is a wasteful number, since it uses less digits than its factorization.

755383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 755383200 is about 27484.2354814537. The cubic root of 755383200 is about 910.7288770552.

The spelling of 755383200 in words is "seven hundred fifty-five million, three hundred eighty-three thousand, two hundred".