506802080 has 24 divisors (see below), whose sum is σ = 1197320292. Its totient is φ = 202720768.

The previous prime is 506802077. The next prime is 506802083. The reversal of 506802080 is 80208605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (506802077) and next prime (506802083).

It can be written as a sum of positive squares in 2 ways, for example, as 420906256 + 85895824 = 20516^2 + 9268^2 .

It is not an unprimeable number, because it can be changed into a prime (506802083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1583597 + ... + 1583916.

Almost surely, 2^506802080 is an apocalyptic number.

It is an amenable number.

506802080 is an abundant number, since it is smaller than the sum of its proper divisors (690518212).

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

506802080 is a wasteful number, since it uses less digits than its factorization.

506802080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167528 (or 3167520 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 506802080 is about 22512.2651014952. The cubic root of 506802080 is about 797.2835364726.

The spelling of 506802080 in words is "five hundred six million, eight hundred two thousand, eighty".