77672736677700 has 144 divisors (see below), whose sum is σ = 250326169974720. Its totient is φ = 20661076800000.

The previous prime is 77672736677663. The next prime is 77672736677741. The reversal of 77672736677700 is 777663727677.

It is a happy number.

77672736677700 is a `hidden beast` number, since 77 + 67 + 2 + 7 + 366 + 77 + 70 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34787226 + ... + 36952625.

It is an arithmetic number, because the mean of its divisors is an integer number (1738376180380).

Almost surely, 2^{77672736677700} is an apocalyptic number.

It is an amenable number.

77672736677700 is an abundant number, since it is smaller than the sum of its proper divisors (172653433297020).

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

77672736677700 is a wasteful number, since it uses less digits than its factorization.

77672736677700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71740275 (or 71740262 counting only the distinct ones).

The product of its (nonzero) digits is 1067311728, while the sum is 72.

The spelling of 77672736677700 in words is "seventy-seven trillion, six hundred seventy-two billion, seven hundred thirty-six million, six hundred seventy-seven thousand, seven hundred".