506777120 has 48 divisors (see below), whose sum is σ = 1260282240. Its totient is φ = 192040704.

The previous prime is 506777107. The next prime is 506777129. The reversal of 506777120 is 21777605.

It is not an unprimeable number, because it can be changed into a prime (506777129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80312 + ... + 86391.

It is an arithmetic number, because the mean of its divisors is an integer number (26255880).

Almost surely, 2^506777120 is an apocalyptic number.

It is an amenable number.

506777120 is an abundant number, since it is smaller than the sum of its proper divisors (753505120).

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

506777120 is a wasteful number, since it uses less digits than its factorization.

506777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166737 (or 166729 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The square root of 506777120 is about 22511.7107301955. The cubic root of 506777120 is about 797.2704475210.

The spelling of 506777120 in words is "five hundred six million, seven hundred seventy-seven thousand, one hundred twenty".