516307680 has 576 divisors, whose sum is σ = 2241727488. Its totient is φ = 105431040.

The previous prime is 516307679. The next prime is 516307723. The reversal of 516307680 is 86703615.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3941215 + ... + 3941345.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 2^516307680 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 516307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120863744).

516307680 is an abundant number, since it is smaller than the sum of its proper divisors (1725419808).

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

516307680 is a wasteful number, since it uses less digits than its factorization.

516307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 516307680 is about 22722.4048023091. The cubic root of 516307680 is about 802.2373204967.

The spelling of 516307680 in words is "five hundred sixteen million, three hundred seven thousand, six hundred eighty".