516040776 has 96 divisors (see below), whose sum is σ = 1450907640. Its totient is φ = 165556224.

The previous prime is 516040769. The next prime is 516040781. The reversal of 516040776 is 677040615.

It can be written as a sum of positive squares in 4 ways, for example, as 395612100 + 120428676 = 19890^2 + 10974^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 516040776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257410 + ... + 259406.

Almost surely, 2^516040776 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 516040776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725453820).

516040776 is an abundant number, since it is smaller than the sum of its proper divisors (934866864).

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

516040776 is a wasteful number, since it uses less digits than its factorization.

516040776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 516040776 is about 22716.5308971242. The cubic root of 516040776 is about 802.0990584584.

The spelling of 516040776 in words is "five hundred sixteen million, forty thousand, seven hundred seventy-six".