77200066801 has 81 divisors (see below), whose sum is σ = 96605068833. Its totient is φ = 61615794240.

The previous prime is 77200066793. The next prime is 77200066807. The reversal of 77200066801 is 10866000277.

It is a happy number.

The square root of 77200066801 is 277849.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9899255025 + 67300811776 = 99495^2 + 259424^2 .

It is not a de Polignac number, because 77200066801 - 2³ = 77200066793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77200066807) 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, 1152239770 + ... + 1152239836.

Almost surely, 2^77200066801 is an apocalyptic number.

77200066801 is the 277849-th square number.

77200066801 is the 138925-th centered octagonal number.

It is an amenable number.

77200066801 is a deficient number, since it is larger than the sum of its proper divisors (19405002032).

77200066801 is a wasteful number, since it uses less digits than its factorization.

77200066801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 77200066801 in words is "seventy-seven billion, two hundred million, sixty-six thousand, eight hundred one".