787 has 2 divisors, whose sum is σ = 788. Its totient is φ = 786.

The previous prime is 773. The next prime is 797.

787 is nontrivially palindromic in base 4, base 10, base 11 and base 16.

787 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

787 is an esthetic number in base 10 and base 11, because in such bases its adjacent digits differ by 1.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 787 - 2⁷ = 659 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

787 is an undulating number in base 10, base 11 and base 16.

787 is a lucky number.

It is a plaindrome in base 5, base 12 and base 15.

It is a zygodrome in base 5.

It is not a weakly prime, because it can be changed into another prime (727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 393 + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (394).

2⁷⁸⁷ is an apocalyptic number.

787 is a deficient number, since it is larger than the sum of its proper divisors (1).

787 is an equidigital number, since it uses as much as digits as its factorization.

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

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

The square root of 787 is about 28.0535202782. The cubic root of 787 is about 9.2326189313.

The spelling of 787 in words is "seven hundred eighty-seven", and thus it is an aban number and an oban number.