77746168900 has 27 divisors (see below), whose sum is σ = 168715237341. Its totient is φ = 31097352240.

The previous prime is 77746168889. The next prime is 77746168919. The reversal of 77746168900 is 986164777.

The square root of 77746168900 is 278830.

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., 27988620804 + 49757548096 = 167298^2 + 223064^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2774359 + ... + 2802241.

Almost surely, 2^77746168900 is an apocalyptic number.

77746168900 is the 278830-th square number.

It is an amenable number.

77746168900 is an abundant number, since it is smaller than the sum of its proper divisors (90969068441).

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

77746168900 is an frugal number, since it uses more digits than its factorization.

77746168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55780 (or 27890 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 55.

The spelling of 77746168900 in words is "seventy-seven billion, seven hundred forty-six million, one hundred sixty-eight thousand, nine hundred".