516200080 has 80 divisors (see below), whose sum is σ = 1313273088. Its totient is φ = 187136000.

The previous prime is 516200051. The next prime is 516200081. The reversal of 516200080 is 80002615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (516200081) 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 15 ways as a sum of consecutive naturals, for example, 378600 + ... + 379960.

Almost surely, 2^516200080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656636544).

516200080 is an abundant number, since it is smaller than the sum of its proper divisors (797073008).

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

516200080 is a wasteful number, since it uses less digits than its factorization.

516200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 516200080 is about 22720.0369718009. The cubic root of 516200080 is about 802.1815871060.

Adding to 516200080 its reverse (80002615), we get a palindrome (596202695).

The spelling of 516200080 in words is "five hundred sixteen million, two hundred thousand, eighty".