775368 has 72 divisors (see below), whose sum is σ = 2334150. Its totient is φ = 232320.

The previous prime is 775367. The next prime is 775393. The reversal of 775368 is 863577.

775368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 736164 + 39204 = 858^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×775368³ = 1398443339731908096, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (35280) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (775361) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8668 + ... + 8756.

2⁷⁷⁵³⁶⁸ 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 775368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167075).

775368 is an abundant number, since it is smaller than the sum of its proper divisors (1558782).

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

775368 is a wasteful number, since it uses less digits than its factorization.

775368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 775368 is about 880.5498282323. The cubic root of 775368 is about 91.8690638952.

Subtracting 775368 from its reverse (863577), we obtain a square (88209 = 297²).

It can be divided in two parts, 77 and 5368, that added together give a palindrome (5445).

The spelling of 775368 in words is "seven hundred seventy-five thousand, three hundred sixty-eight".