677408 has 12 divisors (see below), whose sum is σ = 1333710. Its totient is φ = 338688.

The previous prime is 677387. The next prime is 677423. The reversal of 677408 is 804776.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 283024 = 628^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 21169 = 677408 / (6 + 7 + 7 + 4 + 0 + 8).

It is an unprimeable number.

677408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 10553 + ... + 10616.

2⁶⁷⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

677408 is a deficient number, since it is larger than the sum of its proper divisors (656302).

677408 is a wasteful number, since it uses less digits than its factorization.

677408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21179 (or 21171 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 677408 is about 823.0479937403. The cubic root of 677408 is about 87.8247199763.

The spelling of 677408 in words is "six hundred seventy-seven thousand, four hundred eight".