677730 has 64 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 161280.

The previous prime is 677717. The next prime is 677737. The reversal of 677730 is 37776.

It is a happy number.

677730 is nontrivially palindromic in base 8.

677730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16510 + ... + 16550.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁶⁷⁷⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

677730 is an abundant number, since it is smaller than the sum of its proper divisors (1136670).

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

677730 is a wasteful number, since it uses less digits than its factorization.

677730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99.

The product of its (nonzero) digits is 6174, while the sum is 30.

The square root of 677730 is about 823.2435848520. The cubic root of 677730 is about 87.8386333443.

The spelling of 677730 in words is "six hundred seventy-seven thousand, seven hundred thirty".