66700800 has 240 divisors, whose sum is σ = 246092880. Its totient is φ = 17694720.

The previous prime is 66700793. The next prime is 66700807. The reversal of 66700800 is 800766.

It is an interprime number because it is at equal distance from previous prime (66700793) and next prime (66700807).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66700807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345504 + ... + 345696.

It is an arithmetic number, because the mean of its divisors is an integer number (1025387).

Almost surely, 2^66700800 is an apocalyptic number.

66700800 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 66700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123046440).

66700800 is an abundant number, since it is smaller than the sum of its proper divisors (179392080).

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

66700800 is a wasteful number, since it uses less digits than its factorization.

66700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

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

The square root of 66700800 is about 8167.0557730433. The cubic root of 66700800 is about 405.5493231738.

The spelling of 66700800 in words is "sixty-six million, seven hundred thousand, eight hundred".