677904 has 40 divisors (see below), whose sum is σ = 1815360. Its totient is φ = 217728.

The previous prime is 677891. The next prime is 677927. The reversal of 677904 is 409776.

It is an unprimeable number.

677904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (45384).

2⁶⁷⁷⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907680).

677904 is an abundant number, since it is smaller than the sum of its proper divisors (1137456).

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

677904 is a wasteful number, since it uses less digits than its factorization.

677904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 677904 is about 823.3492576058. The cubic root of 677904 is about 87.8461499140.

The spelling of 677904 in words is "six hundred seventy-seven thousand, nine hundred four".