77438434900 has 54 divisors (see below), whose sum is σ = 177351259470. Its totient is φ = 29345077440.

The previous prime is 77438434889. The next prime is 77438434907. The reversal of 77438434900 is 943483477.

It can be written as a sum of positive squares in 3 ways, for example, as 10785653316 + 66652781584 = 103854^2 + 258172^2 .

It is a super-2 number, since 2×77438434900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77438434907) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1036455 + ... + 1108654.

Almost surely, 2^77438434900 is an apocalyptic number.

It is an amenable number.

77438434900 is an abundant number, since it is smaller than the sum of its proper divisors (99912824570).

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

77438434900 is a wasteful number, since it uses less digits than its factorization.

77438434900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145161 (or 2145135 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 77438434900 in words is "seventy-seven billion, four hundred thirty-eight million, four hundred thirty-four thousand, nine hundred".