766880264088 has 256 divisors, whose sum is σ = 2246724950400. Its totient is φ = 242103582720.

The previous prime is 766880264083. The next prime is 766880264099. The reversal of 766880264088 is 880462088667.

766880264088 is a `hidden beast` number, since 76 + 68 + 80 + 26 + 408 + 8 = 666.

It is a Cunningham number, because it is equal to 875717²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766880264083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47280556 + ... + 47296772.

Almost surely, 2^766880264088 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 766880264088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123362475200).

766880264088 is an abundant number, since it is smaller than the sum of its proper divisors (1479844686312).

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

766880264088 is a wasteful number, since it uses less digits than its factorization.

766880264088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16427 (or 16417 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 766880264088 in words is "seven hundred sixty-six billion, eight hundred eighty million, two hundred sixty-four thousand, eighty-eight".