766072188 has 96 divisors (see below), whose sum is σ = 2278886400. Its totient is φ = 218006208.

The previous prime is 766072169. The next prime is 766072189. The reversal of 766072188 is 881270667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766072189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201481 + ... + 205247.

It is an arithmetic number, because the mean of its divisors is an integer number (23738400).

Almost surely, 2^766072188 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 766072188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139443200).

766072188 is an abundant number, since it is smaller than the sum of its proper divisors (1512814212).

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

766072188 is a wasteful number, since it uses less digits than its factorization.

766072188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 766072188 is about 27678.0091047026. The cubic root of 766072188 is about 915.0045041434.

The spelling of 766072188 in words is "seven hundred sixty-six million, seventy-two thousand, one hundred eighty-eight".