6676800 has 168 divisors, whose sum is σ = 23810976. Its totient is φ = 1628160.

The previous prime is 6676793. The next prime is 6676823. The reversal of 6676800 is 86766.

It is a congruent number.

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, 62347 + ... + 62453.

It is an arithmetic number, because the mean of its divisors is an integer number (141732).

Almost surely, 2^6676800 is an apocalyptic number.

6676800 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 6676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905488).

6676800 is an abundant number, since it is smaller than the sum of its proper divisors (17134176).

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

6676800 is a wasteful number, since it uses less digits than its factorization.

6676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6676800 is about 2583.9504639215. The cubic root of 6676800 is about 188.3025158197.

The spelling of 6676800 in words is "six million, six hundred seventy-six thousand, eight hundred".