6670800 has 180 divisors, whose sum is σ = 24736140. Its totient is φ = 1658880.

The previous prime is 6670799. The next prime is 6670801. The reversal of 6670800 is 80766.

It is an interprime number because it is at equal distance from previous prime (6670799) and next prime (6670801).

It can be written as a sum of positive squares in 6 ways, for example, as 76176 + 6594624 = 276^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6670801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61146 + ... + 61254.

It is an arithmetic number, because the mean of its divisors is an integer number (137423).

Almost surely, 2^6670800 is an apocalyptic number.

6670800 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 6670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368070).

6670800 is an abundant number, since it is smaller than the sum of its proper divisors (18065340).

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

6670800 is a wasteful number, since it uses less digits than its factorization.

6670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6670800 is about 2582.7891900037. The cubic root of 6670800 is about 188.2460938963.

The spelling of 6670800 in words is "six million, six hundred seventy thousand, eight hundred".