77388272800 has 36 divisors (see below), whose sum is σ = 188924122926. Its totient is φ = 30955308800.

The previous prime is 77388272771. The next prime is 77388272803. The reversal of 77388272800 is 827288377.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 48828624784 + 28559648016 = 220972^2 + 168996^2 .

It is not an unprimeable number, because it can be changed into a prime (77388272803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48366871 + ... + 48368470.

Almost surely, 2^77388272800 is an apocalyptic number.

It is an amenable number.

77388272800 is an abundant number, since it is smaller than the sum of its proper divisors (111535850126).

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

77388272800 is a wasteful number, since it uses less digits than its factorization.

77388272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96735361 (or 96735348 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 52.

The spelling of 77388272800 in words is "seventy-seven billion, three hundred eighty-eight million, two hundred seventy-two thousand, eight hundred".