678757 has 2 divisors, whose sum is σ = 678758. Its totient is φ = 678756.

The previous prime is 678749. The next prime is 678761. The reversal of 678757 is 757876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 349281 + 329476 = 591^2 + 574^2 .

It is a cyclic number.

It is not a de Polignac number, because 678757 - 2³ = 678749 is a prime.

It is a super-2 number, since 2×678757² = 921422130098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (678767) 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 as a sum of consecutive naturals, namely, 339378 + 339379.

It is an arithmetic number, because the mean of its divisors is an integer number (339379).

2⁶⁷⁸⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

678757 is a deficient number, since it is larger than the sum of its proper divisors (1).

678757 is an equidigital number, since it uses as much as digits as its factorization.

678757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82320, while the sum is 40.

The square root of 678757 is about 823.8671009332. The cubic root of 678757 is about 87.8829797890.

The spelling of 678757 in words is "six hundred seventy-eight thousand, seven hundred fifty-seven".