76066188 has 96 divisors (see below), whose sum is σ = 207083520. Its totient is φ = 21504000.

The previous prime is 76066181. The next prime is 76066247. The reversal of 76066188 is 88166067.

It is a super-5 number, since 5×76066188⁵ (a number of 41 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (76066181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118348 + ... + 118988.

It is an arithmetic number, because the mean of its divisors is an integer number (2157120).

Almost surely, 2^76066188 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 76066188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103541760).

76066188 is an abundant number, since it is smaller than the sum of its proper divisors (131017332).

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

76066188 is a wasteful number, since it uses less digits than its factorization.

76066188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 76066188 is about 8721.5932030794. The cubic root of 76066188 is about 423.7052879617.

The spelling of 76066188 in words is "seventy-six million, sixty-six thousand, one hundred eighty-eight".