77330406721 has 8 divisors (see below), whose sum is σ = 81948119400. Its totient is φ = 72842770560.

The previous prime is 77330406697. The next prime is 77330406743. The reversal of 77330406721 is 12760403377.

It can be written as a sum of positive squares in 4 ways, for example, as 104775696 + 77225631025 = 10236^2 + 277895^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77330406721 - 2⁵ = 77330406689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77330406121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32517906 + ... + 32520283.

It is an arithmetic number, because the mean of its divisors is an integer number (10243514925).

Almost surely, 2^77330406721 is an apocalyptic number.

It is an amenable number.

77330406721 is a deficient number, since it is larger than the sum of its proper divisors (4617712679).

77330406721 is a wasteful number, since it uses less digits than its factorization.

77330406721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65038259.

The product of its (nonzero) digits is 148176, while the sum is 40.

The spelling of 77330406721 in words is "seventy-seven billion, three hundred thirty million, four hundred six thousand, seven hundred twenty-one".