677928 has 32 divisors (see below), whose sum is σ = 1733760. Its totient is φ = 220800.

The previous prime is 677927. The next prime is 677947. The reversal of 677928 is 829776.

It is not an unprimeable number, because it can be changed into a prime (677927) 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 7 ways as a sum of consecutive naturals, for example, 828 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (54180).

2⁶⁷⁷⁹²⁸ 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 677928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866880).

677928 is an abundant number, since it is smaller than the sum of its proper divisors (1055832).

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

677928 is a wasteful number, since it uses less digits than its factorization.

677928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 677928 is about 823.3638320937. The cubic root of 677928 is about 87.8471865813.

The spelling of 677928 in words is "six hundred seventy-seven thousand, nine hundred twenty-eight".