678977 has 8 divisors (see below), whose sum is σ = 756840. Its totient is φ = 604800.

The previous prime is 678971. The next prime is 678989. The reversal of 678977 is 779876.

It is a Cunningham number, because it is equal to 824²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 678976 = 1^2 + 824^2 .

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 678977 - 2⁸ = 678721 is a prime.

It is a super-2 number, since 2×678977² = 922019533058, which contains 22 as substring.

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 678977.

It is not an unprimeable number, because it can be changed into a prime (678971) 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, 524 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (94605).

2⁶⁷⁸⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

678977 is a deficient number, since it is larger than the sum of its proper divisors (77863).

678977 is a wasteful number, since it uses less digits than its factorization.

678977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843.

The product of its digits is 148176, while the sum is 44.

The square root of 678977 is about 824.0006067959. Note that the first 3 decimals coincide. The cubic root of 678977 is about 87.8924736958.

It can be divided in two parts, 6789 and 77, that multiplied together give a triangular number (522753 = T₁₀₂₂).

The spelling of 678977 in words is "six hundred seventy-eight thousand, nine hundred seventy-seven".