8077 has 4 divisors (see below), whose sum is σ = 8316. Its totient is φ = 7840.

The previous prime is 8069. The next prime is 8081. The reversal of 8077 is 7708.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 3721 = 66^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 8077 - 2³ = 8069 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Duffinian number.

8077 is an undulating number in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58 + ... + 139.

It is an arithmetic number, because the mean of its divisors is an integer number (2079).

2⁸⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

8077 is a deficient number, since it is larger than the sum of its proper divisors (239).

8077 is a wasteful number, since it uses less digits than its factorization.

8077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 8077 is about 89.8721313868. The cubic root of 8077 is about 20.0639618924.

The spelling of 8077 in words is "eight thousand, seventy-seven".