77868344401 has 9 divisors (see below), whose sum is σ = 78369638449. Its totient is φ = 77370241936.

The previous prime is 77868344383. The next prime is 77868344441. The reversal of 77868344401 is 10444386877.

It is a happy number.

The square root of 77868344401 is 279049.

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 25280682001 + 52587662400 = 158999^2 + 229320^2 .

It is not a de Polignac number, because 77868344401 - 2⁷ = 77868344273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77868344441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48274671 + ... + 48276283.

Almost surely, 2^77868344401 is an apocalyptic number.

77868344401 is the 279049-th square number.

77868344401 is the 139525-th centered octagonal number.

It is an amenable number.

77868344401 is a deficient number, since it is larger than the sum of its proper divisors (501294048).

77868344401 is an frugal number, since it uses more digits than its factorization.

77868344401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 77868344401 in words is "seventy-seven billion, eight hundred sixty-eight million, three hundred forty-four thousand, four hundred one".