820077 has 4 divisors (see below), whose sum is σ = 1093440. Its totient is φ = 546716.

The previous prime is 820073. The next prime is 820093. The reversal of 820077 is 770028.

820077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 820077 - 2² = 820073 is a prime.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136677 + ... + 136682.

It is an arithmetic number, because the mean of its divisors is an integer number (273360).

2⁸²⁰⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

820077 is a deficient number, since it is larger than the sum of its proper divisors (273363).

820077 is a wasteful number, since it uses less digits than its factorization.

820077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273362.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 820077 is about 905.5810289532. The cubic root of 820077 is about 93.6019458650.

The spelling of 820077 in words is "eight hundred twenty thousand, seventy-seven".