766090570756 has 81 divisors (see below), whose sum is σ = 1577684161557. Its totient is φ = 324548632800.

The previous prime is 766090570753. The next prime is 766090570759. The reversal of 766090570756 is 657075090667.

It is a happy number.

The square root of 766090570756 is 875266.

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

It is an interprime number because it is at equal distance from previous prime (766090570753) and next prime (766090570759).

It can be written as a sum of positive squares in only one way, i.e., 736050748356 + 30039822400 = 857934^2 + 173320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 766090570756.

It is not an unprimeable number, because it can be changed into a prime (766090570753) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1237625815 + ... + 1237626433.

Almost surely, 2^766090570756 is an apocalyptic number.

766090570756 is the 875266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766090570756

766090570756 is an abundant number, since it is smaller than the sum of its proper divisors (811593590801).

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

766090570756 is an equidigital number, since it uses as much as digits as its factorization.

766090570756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 58.

The spelling of 766090570756 in words is "seven hundred sixty-six billion, ninety million, five hundred seventy thousand, seven hundred fifty-six".