766395 has 32 divisors (see below), whose sum is σ = 1559040. Its totient is φ = 349920.

The previous prime is 766393. The next prime is 766399. The reversal of 766395 is 593667.

It is a happy number.

766395 is nontrivially palindromic in base 16.

766395 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 766395 - 2¹ = 766393 is a prime.

It is a super-2 number, since 2×766395² = 1174722592050, which contains 22 as substring.

766395 is strictly pandigital in base 7.

766395 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (766393) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 540 + ... + 1350.

It is an arithmetic number, because the mean of its divisors is an integer number (48720).

2⁷⁶⁶³⁹⁵ is an apocalyptic number.

766395 is an abundant number, since it is smaller than the sum of its proper divisors (792645).

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

766395 is a wasteful number, since it uses less digits than its factorization.

766395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 766395 is about 875.4398894270. The cubic root of 766395 is about 91.5133009420.

The spelling of 766395 in words is "seven hundred sixty-six thousand, three hundred ninety-five".