80777 has 2 divisors, whose sum is σ = 80778. Its totient is φ = 80776.

The previous prime is 80761. The next prime is 80779. The reversal of 80777 is 77708.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 121 = 284^2 + 11^2 .

It is a cyclic number.

It is not a de Polignac number, because 80777 - 2⁴ = 80761 is a prime.

Together with 80779, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (80779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40388 + 40389.

It is an arithmetic number, because the mean of its divisors is an integer number (40389).

2⁸⁰⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

80777 is a deficient number, since it is larger than the sum of its proper divisors (1).

80777 is an equidigital number, since it uses as much as digits as its factorization.

80777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2744, while the sum is 29.

The square root of 80777 is about 284.2129483328. The cubic root of 80777 is about 43.2277442380.

Adding to 80777 its product of nonzero digits (2744), we get a 4-th power (83521 = 17⁴).

The spelling of 80777 in words is "eighty thousand, seven hundred seventy-seven".