77345 has 8 divisors (see below), whose sum is σ = 96000. Its totient is φ = 59760.

The previous prime is 77339. The next prime is 77347. The reversal of 77345 is 54377.

77345 is nontrivially palindromic in base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 77345 - 2¹⁴ = 60961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (12000).

2⁷⁷³⁴⁵ is an apocalyptic number.

It is an amenable number.

77345 is a deficient number, since it is larger than the sum of its proper divisors (18655).

77345 is a wasteful number, since it uses less digits than its factorization.

77345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535.

The product of its digits is 2940, while the sum is 26.

The square root of 77345 is about 278.1096905899. The cubic root of 77345 is about 42.6066525498.

It can be divided in two parts, 773 and 45, that added together give a palindrome (818).

The spelling of 77345 in words is "seventy-seven thousand, three hundred forty-five".