677977 has 8 divisors (see below), whose sum is σ = 756000. Its totient is φ = 604224.

The previous prime is 677959. The next prime is 677983. The reversal of 677977 is 779776.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 677977 - 2¹¹ = 675929 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677977.

It is not an unprimeable number, because it can be changed into a prime (677927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 1372.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

2⁶⁷⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

677977 is a deficient number, since it is larger than the sum of its proper divisors (78023).

677977 is a wasteful number, since it uses less digits than its factorization.

677977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135.

The product of its digits is 129654, while the sum is 43.

The square root of 677977 is about 823.3935875388. The cubic root of 677977 is about 87.8493030344.

The spelling of 677977 in words is "six hundred seventy-seven thousand, nine hundred seventy-seven".