766658816 has 288 divisors, whose sum is σ = 2119219200. Its totient is φ = 267632640.

The previous prime is 766658807. The next prime is 766658821. The reversal of 766658816 is 618856667.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8614100 + ... + 8614188.

It is an arithmetic number, because the mean of its divisors is an integer number (7358400).

Almost surely, 2^766658816 is an apocalyptic number.

766658816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059609600).

766658816 is an abundant number, since it is smaller than the sum of its proper divisors (1352560384).

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

766658816 is a wasteful number, since it uses less digits than its factorization.

766658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The square root of 766658816 is about 27688.6044429834. The cubic root of 766658816 is about 915.2380027253.

It can be divided in two parts, 76 and 6658816, that multiplied together give a square (506070016 = 22496²).

The spelling of 766658816 in words is "seven hundred sixty-six million, six hundred fifty-eight thousand, eight hundred sixteen".