77690412900 has 405 divisors, whose sum is σ = 267434713161. Its totient is φ = 19506640320.

The previous prime is 77690412869. The next prime is 77690412901. The reversal of 77690412900 is 921409677.

The square root of 77690412900 is 278730.

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., 27968548644 + 49721864256 = 167238^2 + 222984^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77690412901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 476628219 + ... + 476628381.

Almost surely, 2^77690412900 is an apocalyptic number.

77690412900 is the 278730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77690412900

77690412900 is an abundant number, since it is smaller than the sum of its proper divisors (189744300261).

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

77690412900 is a wasteful number, since it uses less digits than its factorization.

77690412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 77690412900 in words is "seventy-seven billion, six hundred ninety million, four hundred twelve thousand, nine hundred".