766414336 has 40 divisors (see below), whose sum is σ = 1563962400. Its totient is φ = 375042048.

The previous prime is 766414331. The next prime is 766414339. The reversal of 766414336 is 633414667.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766414331) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8140 + ... + 39988.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 2^766414336 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 766414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781981200).

766414336 is an abundant number, since it is smaller than the sum of its proper divisors (797548064).

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

766414336 is an equidigital number, since it uses as much as digits as its factorization.

766414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31914 (or 31898 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The square root of 766414336 is about 27684.1892783589. The cubic root of 766414336 is about 915.1407055656.

The spelling of 766414336 in words is "seven hundred sixty-six million, four hundred fourteen thousand, three hundred thirty-six".