677180 has 36 divisors (see below), whose sum is σ = 1656648. Its totient is φ = 231840.

The previous prime is 677177. The next prime is 677213. The reversal of 677180 is 81776.

677180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (46018).

2⁶⁷⁷¹⁸⁰ 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 677180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828324).

677180 is an abundant number, since it is smaller than the sum of its proper divisors (979468).

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

677180 is a wasteful number, since it uses less digits than its factorization.

677180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 677180 is about 822.9094725424. The cubic root of 677180 is about 87.8148656084.

The spelling of 677180 in words is "six hundred seventy-seven thousand, one hundred eighty".