766833312 has 288 divisors, whose sum is σ = 2534716800. Its totient is φ = 198567936.

The previous prime is 766833307. The next prime is 766833323. The reversal of 766833312 is 213338667.

766833312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×766833312³ (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7035114 + ... + 7035222.

It is an arithmetic number, because the mean of its divisors is an integer number (8801100).

Almost surely, 2^766833312 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 766833312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267358400).

766833312 is an abundant number, since it is smaller than the sum of its proper divisors (1767883488).

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

766833312 is a wasteful number, since it uses less digits than its factorization.

766833312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 766833312 is about 27691.7553073112. The cubic root of 766833312 is about 915.3074352865.

The spelling of 766833312 in words is "seven hundred sixty-six million, eight hundred thirty-three thousand, three hundred twelve".