766888128 has 112 divisors (see below), whose sum is σ = 2282098560. Its totient is φ = 252502272.

The previous prime is 766888117. The next prime is 766888163. The reversal of 766888128 is 821888667.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140751 + ... + 146097.

It is an arithmetic number, because the mean of its divisors is an integer number (20375880).

Almost surely, 2^766888128 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 766888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141049280).

766888128 is an abundant number, since it is smaller than the sum of its proper divisors (1515210432).

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

766888128 is a wasteful number, since it uses less digits than its factorization.

766888128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5435 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 766888128 is about 27692.7450427003. The cubic root of 766888128 is about 915.3292445881.

The spelling of 766888128 in words is "seven hundred sixty-six million, eight hundred eighty-eight thousand, one hundred twenty-eight".