766186668 has 192 divisors, whose sum is σ = 2316625920. Its totient is φ = 216843264.

The previous prime is 766186637. The next prime is 766186679. The reversal of 766186668 is 866681667.

766186668 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121455 + ... + 1122137.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2^766186668 is an apocalyptic number.

766186668 is a gapful number since it is divisible by the number (78) 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 766186668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960).

766186668 is an abundant number, since it is smaller than the sum of its proper divisors (1550439252).

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

766186668 is a wasteful number, since it uses less digits than its factorization.

766186668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 766186668 is about 27680.0770952684. The cubic root of 766186668 is about 915.0500805698.

The spelling of 766186668 in words is "seven hundred sixty-six million, one hundred eighty-six thousand, six hundred sixty-eight".