766130012505 has 192 divisors, whose sum is σ = 1598333248512. Its totient is φ = 334504235520.

The previous prime is 766130012477. The next prime is 766130012519. The reversal of 766130012505 is 505210031667.

766130012505 is a `hidden beast` number, since 7 + 6 + 6 + 130 + 0 + 12 + 505 = 666.

It is not a de Polignac number, because 766130012505 - 2²⁴ = 766113235289 is a prime.

It is a super-2 number, since 2×766130012505² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 766130012505.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 410352582 + ... + 410354448.

It is an arithmetic number, because the mean of its divisors is an integer number (8324652336).

Almost surely, 2^766130012505 is an apocalyptic number.

It is an amenable number.

766130012505 is an abundant number, since it is smaller than the sum of its proper divisors (832203236007).

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

766130012505 is a wasteful number, since it uses less digits than its factorization.

766130012505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 766130012505 in words is "seven hundred sixty-six billion, one hundred thirty million, twelve thousand, five hundred five".