769618564 has 81 divisors (see below), whose sum is σ = 1619736111. Its totient is φ = 319587840.

The previous prime is 769618547. The next prime is 769618567. The reversal of 769618564 is 465816967.

The square root of 769618564 is 27742.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 140612164 + 629006400 = 11858^2 + 25080^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (769618567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7934164 + ... + 7934260.

Almost surely, 2^769618564 is an apocalyptic number.

769618564 is the 27742-nd square number.

It is an amenable number.

769618564 is an abundant number, since it is smaller than the sum of its proper divisors (850117547).

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

769618564 is a wasteful number, since it uses less digits than its factorization.

769618564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The cubic root of 769618564 is about 916.4142736241.

The spelling of 769618564 in words is "seven hundred sixty-nine million, six hundred eighteen thousand, five hundred sixty-four".