766633056 has 192 divisors, whose sum is σ = 2421715968. Its totient is φ = 207618048.

The previous prime is 766633013. The next prime is 766633057. The reversal of 766633056 is 650336667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 766632999 and 766633017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766633057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2982880 + ... + 2983136.

It is an arithmetic number, because the mean of its divisors is an integer number (12613104).

Almost surely, 2^766633056 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 766633056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210857984).

766633056 is an abundant number, since it is smaller than the sum of its proper divisors (1655082912).

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

766633056 is a wasteful number, since it uses less digits than its factorization.

766633056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The square root of 766633056 is about 27688.1392657578. The cubic root of 766633056 is about 915.2277518399.

The spelling of 766633056 in words is "seven hundred sixty-six million, six hundred thirty-three thousand, fifty-six".