755145600 has 192 divisors, whose sum is σ = 2713754880. Its totient is φ = 183040000.

The previous prime is 755145583. The next prime is 755145607. The reversal of 755145600 is 6541557.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755145607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102025 + ... + 109175.

It is an arithmetic number, because the mean of its divisors is an integer number (14134140).

Almost surely, 2^755145600 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 755145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356877440).

755145600 is an abundant number, since it is smaller than the sum of its proper divisors (1958609280).

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

755145600 is a wasteful number, since it uses less digits than its factorization.

755145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 755145600 is about 27479.9126636167. The cubic root of 755145600 is about 910.6333794442.

The spelling of 755145600 in words is "seven hundred fifty-five million, one hundred forty-five thousand, six hundred".