512077120 has 28 divisors (see below), whose sum is σ = 1219384404. Its totient is φ = 204830720.

The previous prime is 512077109. The next prime is 512077123. The reversal of 512077120 is 21770215.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 408363264 + 103713856 = 20208^2 + 10184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512077123) 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 3 ways as a sum of consecutive naturals, for example, 799801 + ... + 800440.

It is an arithmetic number, because the mean of its divisors is an integer number (43549443).

Almost surely, 2^512077120 is an apocalyptic number.

It is an amenable number.

512077120 is an abundant number, since it is smaller than the sum of its proper divisors (707307284).

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

512077120 is a wasteful number, since it uses less digits than its factorization.

512077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600258 (or 1600248 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 512077120 is about 22629.1210611460. The cubic root of 512077120 is about 800.0401646501.

The spelling of 512077120 in words is "five hundred twelve million, seventy-seven thousand, one hundred twenty".