677970 has 64 divisors (see below), whose sum is σ = 1889280. Its totient is φ = 174960.

The previous prime is 677959. The next prime is 677983. The reversal of 677970 is 79776.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21855 + ... + 21885.

It is an arithmetic number, because the mean of its divisors is an integer number (29520).

2⁶⁷⁷⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944640).

677970 is an abundant number, since it is smaller than the sum of its proper divisors (1211310).

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

677970 is an equidigital number, since it uses as much as digits as its factorization.

677970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 677970 is about 823.3893368268. The cubic root of 677970 is about 87.8490006902.

The spelling of 677970 in words is "six hundred seventy-seven thousand, nine hundred seventy".