677872 has 20 divisors (see below), whose sum is σ = 1414840. Its totient is φ = 312768.

The previous prime is 677857. The next prime is 677891. The reversal of 677872 is 278776.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1422 + ... + 1837.

It is an arithmetic number, because the mean of its divisors is an integer number (70742).

2⁶⁷⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

677872 is an abundant number, since it is smaller than the sum of its proper divisors (736968).

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

677872 is a wasteful number, since it uses less digits than its factorization.

677872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3274 counting only the distinct ones).

The product of its digits is 32928, while the sum is 37.

The square root of 677872 is about 823.3298245539. The cubic root of 677872 is about 87.8447676529.

The spelling of 677872 in words is "six hundred seventy-seven thousand, eight hundred seventy-two".