76712380900 has 27 divisors (see below), whose sum is σ = 166471877019. Its totient is φ = 30683844480.

The previous prime is 76712380859. The next prime is 76712380939. The reversal of 76712380900 is 908321767.

It is a happy number.

The square root of 76712380900 is 276970.

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 40761187236 + 35951193664 = 201894^2 + 189608^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2755852 + ... + 2783548.

Almost surely, 2^76712380900 is an apocalyptic number.

76712380900 is the 276970-th square number.

It is an amenable number.

76712380900 is an abundant number, since it is smaller than the sum of its proper divisors (89759496119).

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

76712380900 is an frugal number, since it uses more digits than its factorization.

76712380900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55408 (or 27704 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 76712380900 in words is "seventy-six billion, seven hundred twelve million, three hundred eighty thousand, nine hundred".