677700 has 72 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 180000.

The previous prime is 677687. The next prime is 677717. The reversal of 677700 is 7776.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2575 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2⁶⁷⁷⁷⁰⁰ is an apocalyptic number.

677700 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 677700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

677700 is an abundant number, since it is smaller than the sum of its proper divisors (1509660).

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

677700 is a wasteful number, since it uses less digits than its factorization.

677700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 677700 is about 823.2253640407. The cubic root of 677700 is about 87.8373372539.

The spelling of 677700 in words is "six hundred seventy-seven thousand, seven hundred".