80077 has 2 divisors, whose sum is σ = 80078. Its totient is φ = 80076.

The previous prime is 80071. The next prime is 80107. The reversal of 80077 is 77008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 12996 = 259^2 + 114^2 .

It is a cyclic number.

It is not a de Polignac number, because 80077 - 2¹⁵ = 47309 is a prime.

It is a Chen prime.

80077 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (80071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40038 + 40039.

It is an arithmetic number, because the mean of its divisors is an integer number (40039).

2⁸⁰⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

80077 is a deficient number, since it is larger than the sum of its proper divisors (1).

80077 is an equidigital number, since it uses as much as digits as its factorization.

80077 is an odious number, because the sum of its binary digits is odd.

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

The square root of 80077 is about 282.9787977923. The cubic root of 80077 is about 43.1025136570.

The spelling of 80077 in words is "eighty thousand, seventy-seven".