677816 has 16 divisors (see below), whose sum is σ = 1280400. Its totient is φ = 336384.

The previous prime is 677813. The next prime is 677827. The reversal of 677816 is 618776.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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 677816.

It is not an unprimeable number, because it can be changed into a prime (677813) 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 3 ways as a sum of consecutive naturals, for example, 1325 + ... + 1763.

It is an arithmetic number, because the mean of its divisors is an integer number (80025).

2⁶⁷⁷⁸¹⁶ is an apocalyptic number.

It is an amenable number.

677816 is a deficient number, since it is larger than the sum of its proper divisors (602584).

677816 is a wasteful number, since it uses less digits than its factorization.

677816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 677816 is about 823.2958156094. The cubic root of 677816 is about 87.8423485912.

The spelling of 677816 in words is "six hundred seventy-seven thousand, eight hundred sixteen".