676000 has 72 divisors (see below), whose sum is σ = 1798524. Its totient is φ = 249600.

The previous prime is 675979. The next prime is 676007. The reversal of 676000 is 676.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 29584 + 646416 = 172^2 + 804^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (676007) by changing a digit.

676000 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 11 ways as a sum of consecutive naturals, for example, 51994 + ... + 52006.

2⁶⁷⁶⁰⁰⁰ 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 676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899262).

676000 is an abundant number, since it is smaller than the sum of its proper divisors (1122524).

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

676000 is a wasteful number, since it uses less digits than its factorization.

676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 676000 is about 822.1921916438. The cubic root of 676000 is about 87.7638295533.

Adding to 676000 its reverse (676), we get a palindrome (676676).

676000 divided by its reverse (676) gives a cube (1000 = 10³).

The spelling of 676000 in words is "six hundred seventy-six thousand".