77729440600 has 96 divisors (see below), whose sum is σ = 206714671200. Its totient is φ = 26627328000.

The previous prime is 77729440597. The next prime is 77729440601. The reversal of 77729440600 is 604492777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77729440601) 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 23 ways as a sum of consecutive naturals, for example, 1658286 + ... + 1704514.

It is an arithmetic number, because the mean of its divisors is an integer number (2153277825).

Almost surely, 2^77729440600 is an apocalyptic number.

77729440600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77729440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103357335600).

77729440600 is an abundant number, since it is smaller than the sum of its proper divisors (128985230600).

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

77729440600 is a wasteful number, since it uses less digits than its factorization.

77729440600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47453 (or 47444 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 77729440600 in words is "seventy-seven billion, seven hundred twenty-nine million, four hundred forty thousand, six hundred".