66766800 has 60 divisors (see below), whose sum is σ = 213880160. Its totient is φ = 17804160.

The previous prime is 66766783. The next prime is 66766807. The reversal of 66766800 is 866766.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66766807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26620 + ... + 29019.

Almost surely, 2^66766800 is an apocalyptic number.

66766800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66766800 is an abundant number, since it is smaller than the sum of its proper divisors (147113360).

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

66766800 is a wasteful number, since it uses less digits than its factorization.

66766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55660 (or 55649 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 66766800 is about 8171.0953978032. The cubic root of 66766800 is about 405.6830418690.

The spelling of 66766800 in words is "sixty-six million, seven hundred sixty-six thousand, eight hundred".