755913168 has 80 divisors (see below), whose sum is σ = 2220264640. Its totient is φ = 246105216.

The previous prime is 755913149. The next prime is 755913209. The reversal of 755913168 is 861319557.

It is a happy number.

755913168 is a `hidden beast` number, since 7 + 559 + 1 + 31 + 68 = 666.

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 15 ways as a sum of consecutive naturals, for example, 1771 + ... + 38922.

It is an arithmetic number, because the mean of its divisors is an integer number (27753308).

Almost surely, 2^755913168 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 755913168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110132320).

755913168 is an abundant number, since it is smaller than the sum of its proper divisors (1464351472).

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

755913168 is a wasteful number, since it uses less digits than its factorization.

755913168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40753 (or 40741 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 755913168 is about 27493.8750997381. The cubic root of 755913168 is about 910.9418128340.

The spelling of 755913168 in words is "seven hundred fifty-five million, nine hundred thirteen thousand, one hundred sixty-eight".