766475088336 has 120 divisors (see below), whose sum is σ = 2224430782080. Its totient is φ = 246172877568.

The previous prime is 766475088331. The next prime is 766475088359. The reversal of 766475088336 is 633880574667.

766475088336 is a `hidden beast` number, since 7 + 6 + 6 + 47 + 508 + 83 + 3 + 6 = 666.

It is a super-2 number, since 2×766475088336² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766475088331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149556 + ... + 1247123.

It is an arithmetic number, because the mean of its divisors is an integer number (18536923184).

Almost surely, 2^766475088336 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 766475088336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112215391040).

766475088336 is an abundant number, since it is smaller than the sum of its proper divisors (1457955693744).

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

766475088336 is a wasteful number, since it uses less digits than its factorization.

766475088336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396833 (or 1396824 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 766475088336 in words is "seven hundred sixty-six billion, four hundred seventy-five million, eighty-eight thousand, three hundred thirty-six".