820377 has 6 divisors (see below), whose sum is σ = 1185002. Its totient is φ = 546912.

The previous prime is 820367. The next prime is 820399. The reversal of 820377 is 773028.

It can be written as a sum of positive squares in only one way, i.e., 488601 + 331776 = 699^2 + 576^2 .

It is not a de Polignac number, because 820377 - 2⁴ = 820361 is a prime.

It is a Duffinian number.

820377 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 820377.

It is not an unprimeable number, because it can be changed into a prime (820367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45568 + ... + 45585.

2⁸²⁰³⁷⁷ is an apocalyptic number.

It is an amenable number.

820377 is a deficient number, since it is larger than the sum of its proper divisors (364625).

820377 is a wasteful number, since it uses less digits than its factorization.

820377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91159 (or 91156 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 820377 is about 905.7466533198. The cubic root of 820377 is about 93.6133582732.

The spelling of 820377 in words is "eight hundred twenty thousand, three hundred seventy-seven".