77968900 has 27 divisors (see below), whose sum is σ = 169384341. Its totient is φ = 31152240.

The previous prime is 77968889. The next prime is 77968903. The reversal of 77968900 is 986977.

The square root of 77968900 is 8830.

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., 28068804 + 49900096 = 5298^2 + 7064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77968903) by changing a digit.

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, 87859 + ... + 88741.

Almost surely, 2^77968900 is an apocalyptic number.

77968900 is the 8830-th square number.

It is an amenable number.

77968900 is an abundant number, since it is smaller than the sum of its proper divisors (91415441).

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

77968900 is an equidigital number, since it uses as much as digits as its factorization.

77968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The cubic root of 77968900 is about 427.2090744307.

The spelling of 77968900 in words is "seventy-seven million, nine hundred sixty-eight thousand, nine hundred".