77233766401 has 16 divisors (see below), whose sum is σ = 84431167488. Its totient is φ = 70065896400.

The previous prime is 77233766377. The next prime is 77233766497. The reversal of 77233766401 is 10466733277.

It is a cyclic number.

It is not a de Polignac number, because 77233766401 - 2¹⁷ = 77233635329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77233766101) 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, 11750446 + ... + 11757016.

It is an arithmetic number, because the mean of its divisors is an integer number (5276947968).

Almost surely, 2^77233766401 is an apocalyptic number.

It is an amenable number.

77233766401 is a deficient number, since it is larger than the sum of its proper divisors (7197401087).

77233766401 is a wasteful number, since it uses less digits than its factorization.

77233766401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8652.

The product of its (nonzero) digits is 889056, while the sum is 46.

The spelling of 77233766401 in words is "seventy-seven billion, two hundred thirty-three million, seven hundred sixty-six thousand, four hundred one".