771 has 4 divisors (see below), whose sum is σ = 1032. Its totient is φ = 512.

The previous prime is 769. The next prime is 773. The reversal of 771 is 177.

771 is nontrivially palindromic in base 2, base 4, base 13 and base 16.

771 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 177 = 3 ⋅59.

It is an interprime number because it is at equal distance from previous prime (769) and next prime (773).

It is a 9-Lehmer number, since φ(771) divides (771-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 771 - 2¹ = 769 is a prime.

It is a D-number.

771 is an undulating number in base 13 and base 16.

It is a plaindrome in base 15.

It is a nialpdrome in base 10, base 11 and base 12.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 771.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 771.

It is not an unprimeable number, because it can be changed into a prime (773) by changing a digit.

In principle, a polygon with 771 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (258).

771 is a deficient number, since it is larger than the sum of its proper divisors (261).

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

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

The sum of its prime factors is 260.

The product of its digits is 49, while the sum is 15.

The square root of 771 is about 27.7668867538. The cubic root of 771 is about 9.1696225545.

Adding to 771 its product of digits (49), we get a triangular number (820 = T₄₀).

It can be divided in two parts, 77 and 1, that added together give a triangular number (78 = T₁₂).

The spelling of 771 in words is "seven hundred seventy-one", and thus it is an aban number and an iban number.