75677 has 8 divisors (see below), whose sum is σ = 91200. Its totient is φ = 61344.

The previous prime is 75659. The next prime is 75679. The reversal of 75677 is 77657.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 75677 - 2¹⁰ = 74653 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (11400).

2⁷⁵⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

75677 is a deficient number, since it is larger than the sum of its proper divisors (15523).

75677 is a wasteful number, since it uses less digits than its factorization.

75677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595.

The product of its digits is 10290, while the sum is 32.

The square root of 75677 is about 275.0945292077. The cubic root of 75677 is about 42.2981431299.

The spelling of 75677 in words is "seventy-five thousand, six hundred seventy-seven".