76869780516 has 135 divisors (see below), whose sum is σ = 204713461953. Its totient is φ = 25152482880.

The previous prime is 76869780503. The next prime is 76869780517. The reversal of 76869780516 is 61508796867.

The square root of 76869780516 is 277254.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43635032100 + 33234748416 = 208890^2 + 182304^2 .

It is not an unprimeable number, because it can be changed into a prime (76869780517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 364311651 + ... + 364311861.

Almost surely, 2^76869780516 is an apocalyptic number.

76869780516 is the 277254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76869780516

76869780516 is an abundant number, since it is smaller than the sum of its proper divisors (127843681437).

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

76869780516 is an equidigital number, since it uses as much as digits as its factorization.

76869780516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 76869780516 in words is "seventy-six billion, eight hundred sixty-nine million, seven hundred eighty thousand, five hundred sixteen".