130805766 has 160 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 32612544.

The previous prime is 130805743. The next prime is 130805783. The reversal of 130805766 is 667508031.

130805766 is a `hidden beast` number, since 1 + 3 + 0 + 80 + 576 + 6 = 666.

It is a super-2 number, since 2×130805766² = 34220296837693512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130805766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 279865 + ... + 280331.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2^130805766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130805766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

130805766 is an abundant number, since it is smaller than the sum of its proper divisors (249734394).

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

130805766 is a wasteful number, since it uses less digits than its factorization.

130805766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 130805766 is about 11437.0348430002. The cubic root of 130805766 is about 507.6241743596.

The spelling of 130805766 in words is "one hundred thirty million, eight hundred five thousand, seven hundred sixty-six".