766516905 has 128 divisors (see below), whose sum is σ = 1788825600. Its totient is φ = 301708800.

The previous prime is 766516897. The next prime is 766516909. The reversal of 766516905 is 509615667.

766516905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 766516905 - 2³ = 766516897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (766516909) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 195565 + ... + 199445.

It is an arithmetic number, because the mean of its divisors is an integer number (13975200).

Almost surely, 2^766516905 is an apocalyptic number.

It is an amenable number.

766516905 is an abundant number, since it is smaller than the sum of its proper divisors (1022308695).

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

766516905 is a wasteful number, since it uses less digits than its factorization.

766516905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 766516905 is about 27686.0416997447. The cubic root of 766516905 is about 915.1815280797.

The spelling of 766516905 in words is "seven hundred sixty-six million, five hundred sixteen thousand, nine hundred five".