77404340210401 has 16 divisors (see below), whose sum is σ = 80112045358800. Its totient is φ = 74699214686208.

The previous prime is 77404340210389. The next prime is 77404340210411. The reversal of 77404340210401 is 10401204340477.

It can be written as a sum of positive squares in 8 ways, for example, as 8530955808400 + 68873384402001 = 2920780^2 + 8298999^2 .

It is a cyclic number.

It is not a de Polignac number, because 77404340210401 - 2²⁵ = 77404306655969 is a prime.

It is a super-3 number, since 3×77404340210401³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77404340210411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684229095 + ... + 684342211.

It is an arithmetic number, because the mean of its divisors is an integer number (5007002834925).

Almost surely, 2^{77404340210401} is an apocalyptic number.

It is an amenable number.

77404340210401 is a deficient number, since it is larger than the sum of its proper divisors (2707705148399).

77404340210401 is a wasteful number, since it uses less digits than its factorization.

77404340210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124308.

The product of its (nonzero) digits is 75264, while the sum is 37.

Adding to 77404340210401 its reverse (10401204340477), we get a palindrome (87805544550878).

The spelling of 77404340210401 in words is "seventy-seven trillion, four hundred four billion, three hundred forty million, two hundred ten thousand, four hundred one".