420777 has 12 divisors (see below), whose sum is σ = 694720. Its totient is φ = 240408.

The previous prime is 420769. The next prime is 420779. The reversal of 420777 is 777024.

It is a happy number.

It is not a de Polignac number, because 420777 - 2³ = 420769 is a prime.

It is an Ulam number.

It is a Duffinian number.

420777 is a modest number, since divided by 777 gives 420 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 420777.

It is not an unprimeable number, because it can be changed into a prime (420779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3277 + ... + 3402.

2⁴²⁰⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

420777 is a deficient number, since it is larger than the sum of its proper divisors (273943).

420777 is a wasteful number, since it uses less digits than its factorization.

420777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6692 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 420777 is about 648.6732613574. The cubic root of 420777 is about 74.9348768026.

The spelling of 420777 in words is "four hundred twenty thousand, seven hundred seventy-seven", and thus it is an iban number.