516815880 has 256 divisors, whose sum is σ = 1857945600. Its totient is φ = 112527360.

The previous prime is 516815833. The next prime is 516815891. The reversal of 516815880 is 88518615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2317449 + ... + 2317671.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^516815880 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 516815880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928972800).

516815880 is an abundant number, since it is smaller than the sum of its proper divisors (1341129720).

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

516815880 is a wasteful number, since it uses less digits than its factorization.

516815880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The square root of 516815880 is about 22733.5848470935. The cubic root of 516815880 is about 802.5004473945.

The spelling of 516815880 in words is "five hundred sixteen million, eight hundred fifteen thousand, eight hundred eighty".