66788880 has 160 divisors (see below), whose sum is σ = 219414528. Its totient is φ = 16780800.

The previous prime is 66788873. The next prime is 66788881. The reversal of 66788880 is 8888766.

It is not an unprimeable number, because it can be changed into a prime (66788881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349585 + ... + 349775.

Almost surely, 2^66788880 is an apocalyptic number.

66788880 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 66788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109707264).

66788880 is an abundant number, since it is smaller than the sum of its proper divisors (152625648).

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

66788880 is a wasteful number, since it uses less digits than its factorization.

66788880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 66788880 is about 8172.4463901576. The cubic root of 66788880 is about 405.7277571782.

The spelling of 66788880 in words is "sixty-six million, seven hundred eighty-eight thousand, eight hundred eighty".