678976 has 21 divisors (see below), whose sum is σ = 1360551. Its totient is φ = 336192.

The previous prime is 678971. The next prime is 678989. The reversal of 678976 is 679876.

The square root of 678976 is 824.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×678976² = 922016817152, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (678971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6541 + ... + 6643.

2⁶⁷⁸⁹⁷⁶ is an apocalyptic number.

678976 is the 824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678976

678976 is an abundant number, since it is smaller than the sum of its proper divisors (681575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

678976 is an equidigital number, since it uses as much as digits as its factorization.

678976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 105 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The cubic root of 678976 is about 87.8924305463.

Subtracting 678976 from its reverse (679876), we obtain a square (900 = 30²).

The spelling of 678976 in words is "six hundred seventy-eight thousand, nine hundred seventy-six".