677852 has 24 divisors (see below), whose sum is σ = 1389696. Its totient is φ = 283248.

The previous prime is 677827. The next prime is 677857. The reversal of 677852 is 258776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677857) by changing a digit.

677852 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 7 ways as a sum of consecutive naturals, for example, 923 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (57904).

2⁶⁷⁷⁸⁵² 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 677852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694848).

677852 is an abundant number, since it is smaller than the sum of its proper divisors (711844).

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

677852 is a wasteful number, since it uses less digits than its factorization.

677852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 677852 is about 823.3176786636. The cubic root of 677852 is about 87.8439037176.

The spelling of 677852 in words is "six hundred seventy-seven thousand, eight hundred fifty-two".