677340 has 72 divisors (see below), whose sum is σ = 2122848. Its totient is φ = 174720.

The previous prime is 677333. The next prime is 677357. The reversal of 677340 is 43776.

It is a congruent number.

It is an unprimeable number.

677340 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9505 + ... + 9575.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2⁶⁷⁷³⁴⁰ is an apocalyptic number.

677340 is a gapful number since it is divisible by the number (60) 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 677340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424).

677340 is an abundant number, since it is smaller than the sum of its proper divisors (1445508).

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

677340 is a wasteful number, since it uses less digits than its factorization.

677340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 677340 is about 823.0066828404. The cubic root of 677340 is about 87.8217811857.

The spelling of 677340 in words is "six hundred seventy-seven thousand, three hundred forty".