66787600 has 120 divisors (see below), whose sum is σ = 179622432. Its totient is φ = 23654400.

The previous prime is 66787597. The next prime is 66787613. The reversal of 66787600 is 678766.

66787600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189024 + ... + 189376.

It is a vampire number, since it can be written as 7766 ⋅ 8600 (with its own digits).

Almost surely, 2^66787600 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 66787600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89811216).

66787600 is an abundant number, since it is smaller than the sum of its proper divisors (112834832).

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

66787600 is a wasteful number, since it uses less digits than its factorization.

66787600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 66787600 is about 8172.3680778585. The cubic root of 66787600 is about 405.7251652555.

The spelling of 66787600 in words is "sixty-six million, seven hundred eighty-seven thousand, six hundred".