801077 has 2 divisors, whose sum is σ = 801078. Its totient is φ = 801076.

The previous prime is 801061. The next prime is 801079. The reversal of 801077 is 770108.

801077 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., 758641 + 42436 = 871^2 + 206^2 .

It is a cyclic number.

It is not a de Polignac number, because 801077 - 2⁴ = 801061 is a prime.

Together with 801079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801077.

It is not a weakly prime, because it can be changed into another prime (801079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400538 + 400539.

It is an arithmetic number, because the mean of its divisors is an integer number (400539).

2⁸⁰¹⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

801077 is a deficient number, since it is larger than the sum of its proper divisors (1).

801077 is an equidigital number, since it uses as much as digits as its factorization.

801077 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 23.

The square root of 801077 is about 895.0290498079. The cubic root of 801077 is about 92.8734162519.

The spelling of 801077 in words is "eight hundred one thousand, seventy-seven".