516750768 has 180 divisors, whose sum is σ = 1592194968. Its totient is φ = 155904000.

The previous prime is 516750761. The next prime is 516750781. The reversal of 516750768 is 867057615.

516750768 is a `hidden beast` number, since 516 + 75 + 0 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (516750761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2058643 + ... + 2058893.

Almost surely, 2^516750768 is an apocalyptic number.

516750768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516750768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796097484).

516750768 is an abundant number, since it is smaller than the sum of its proper divisors (1075444200).

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

516750768 is a wasteful number, since it uses less digits than its factorization.

516750768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 516750768 is about 22732.1527357178. The cubic root of 516750768 is about 802.4667444804.

The spelling of 516750768 in words is "five hundred sixteen million, seven hundred fifty thousand, seven hundred sixty-eight".