677504 has 32 divisors (see below), whose sum is σ = 1387200. Its totient is φ = 329472.

The previous prime is 677473. The next prime is 677531. The reversal of 677504 is 405776.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677504.

It is an unprimeable number.

677504 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 in 3 ways as a sum of consecutive naturals, for example, 8537 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (43350).

2⁶⁷⁷⁵⁰⁴ is an apocalyptic number.

677504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693600).

677504 is an abundant number, since it is smaller than the sum of its proper divisors (709696).

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

677504 is an equidigital number, since it uses as much as digits as its factorization.

677504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 677504 is about 823.1063114811. The cubic root of 677504 is about 87.8288685224.

The spelling of 677504 in words is "six hundred seventy-seven thousand, five hundred four".