480805766 has 16 divisors (see below), whose sum is σ = 824739360. Its totient is φ = 205934400.

The previous prime is 480805739. The next prime is 480805769. The reversal of 480805766 is 667508084.

It is a super-3 number, since 3×480805766³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480805769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15680 + ... + 34748.

It is an arithmetic number, because the mean of its divisors is an integer number (51546210).

Almost surely, 2^480805766 is an apocalyptic number.

480805766 is a deficient number, since it is larger than the sum of its proper divisors (343933594).

480805766 is a wasteful number, since it uses less digits than its factorization.

480805766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20879.

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 480805766 is about 21927.2835982937. The cubic root of 480805766 is about 783.4114037576.

The spelling of 480805766 in words is "four hundred eighty million, eight hundred five thousand, seven hundred sixty-six".