77929699728400 has 405 divisors, whose sum is σ = 214087670182071. Its totient is φ = 27244365258240.

The previous prime is 77929699728373. The next prime is 77929699728403. The reversal of 77929699728400 is 482799692977.

The square root of 77929699728400 is 8827780.

It is a perfect power (a square), and thus also a powerful number.

77929699728400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20086495385616 + 57843204342784 = 4481796^2 + 7605472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77929699728403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43609232307 + ... + 43609234093.

Almost surely, 2^{77929699728400} is an apocalyptic number.

77929699728400 is the 8827780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77929699728400

77929699728400 is an abundant number, since it is smaller than the sum of its proper divisors (136157970453671).

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

77929699728400 is a wasteful number, since it uses less digits than its factorization.

77929699728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 1728324864, while the sum is 79.

The spelling of 77929699728400 in words is "seventy-seven trillion, nine hundred twenty-nine billion, six hundred ninety-nine million, seven hundred twenty-eight thousand, four hundred".