677670 has 48 divisors (see below), whose sum is σ = 1896048. Its totient is φ = 154560.

The previous prime is 677657. The next prime is 677681. The reversal of 677670 is 76776.

It is a happy number.

677670 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 inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677670.

It is an unprimeable number.

677670 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (39501).

2⁶⁷⁷⁶⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948024).

677670 is an abundant number, since it is smaller than the sum of its proper divisors (1218378).

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

677670 is a wasteful number, since it uses less digits than its factorization.

677670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 677670 is about 823.2071428262. The cubic root of 677670 is about 87.8360411254.

The spelling of 677670 in words is "six hundred seventy-seven thousand, six hundred seventy".