800077 has 2 divisors, whose sum is σ = 800078. Its totient is φ = 800076.

The previous prime is 800057. The next prime is 800083. The reversal of 800077 is 770008.

800077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 799236 + 841 = 894^2 + 29^2 .

It is a cyclic number.

It is not a de Polignac number, because 800077 - 2⁷ = 799949 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400038 + 400039.

It is an arithmetic number, because the mean of its divisors is an integer number (400039).

2⁸⁰⁰⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

800077 is a deficient number, since it is larger than the sum of its proper divisors (1).

800077 is an equidigital number, since it uses as much as digits as its factorization.

800077 is an evil number, because the sum of its binary digits is even.

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

The square root of 800077 is about 894.4702342728. The cubic root of 800077 is about 92.8347549295.

The spelling of 800077 in words is "eight hundred thousand, seventy-seven".