766987368 has 128 divisors (see below), whose sum is σ = 2395422720. Its totient is φ = 199572480.

The previous prime is 766987357. The next prime is 766987381. The reversal of 766987368 is 863789667.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84205 + ... + 92867.

It is an arithmetic number, because the mean of its divisors is an integer number (18714240).

Almost surely, 2^766987368 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 766987368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197711360).

766987368 is an abundant number, since it is smaller than the sum of its proper divisors (1628435352).

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

766987368 is a wasteful number, since it uses less digits than its factorization.

766987368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8723 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 766987368 is about 27694.5367897714. The cubic root of 766987368 is about 915.3687259470.

The spelling of 766987368 in words is "seven hundred sixty-six million, nine hundred eighty-seven thousand, three hundred sixty-eight".