76809905316 has 135 divisors (see below), whose sum is σ = 204258397651. Its totient is φ = 25169291136.

The previous prime is 76809905279. The next prime is 76809905317. The reversal of 76809905316 is 61350990867.

The square root of 76809905316 is 277146.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1676902500 + 75133002816 = 40950^2 + 274104^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76809905317) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 443987806 + ... + 443987978.

Almost surely, 2^76809905316 is an apocalyptic number.

76809905316 is the 277146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76809905316

76809905316 is an abundant number, since it is smaller than the sum of its proper divisors (127448492335).

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

76809905316 is an equidigital number, since it uses as much as digits as its factorization.

76809905316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 76809905316 in words is "seventy-six billion, eight hundred nine million, nine hundred five thousand, three hundred sixteen".