768117375 has 48 divisors (see below), whose sum is σ = 1466146656. Its totient is φ = 385555200.

The previous prime is 768117367. The next prime is 768117391. The reversal of 768117375 is 573711867.

768117375 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 768117375 - 2³ = 768117367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 768117375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957 + ... + 39206.

It is an arithmetic number, because the mean of its divisors is an integer number (30544722).

Almost surely, 2^768117375 is an apocalyptic number.

768117375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

768117375 is a deficient number, since it is larger than the sum of its proper divisors (698029281).

768117375 is a wasteful number, since it uses less digits than its factorization.

768117375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40201 (or 40188 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 768117375 is about 27714.9305429402. The cubic root of 768117375 is about 915.8180447336.

The spelling of 768117375 in words is "seven hundred sixty-eight million, one hundred seventeen thousand, three hundred seventy-five".