756348768 has 288 divisors, whose sum is σ = 2696016960. Its totient is φ = 196116480.

The previous prime is 756348763. The next prime is 756348773. The reversal of 756348768 is 867843657.

756348768 is a `hidden beast` number, since 7 + 563 + 4 + 8 + 76 + 8 = 666.

756348768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (756348763) and next prime (756348773).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756348763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993508 + ... + 994268.

It is an arithmetic number, because the mean of its divisors is an integer number (9361170).

Almost surely, 2^756348768 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 756348768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348008480).

756348768 is an abundant number, since it is smaller than the sum of its proper divisors (1939668192).

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

756348768 is a wasteful number, since it uses less digits than its factorization.

756348768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 819 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 756348768 is about 27501.7957231887. The cubic root of 756348768 is about 911.1167579970.

The spelling of 756348768 in words is "seven hundred fifty-six million, three hundred forty-eight thousand, seven hundred sixty-eight".