78427442401 has 27 divisors (see below), whose sum is σ = 100307296467. Its totient is φ = 61095489840.

The previous prime is 78427442383. The next prime is 78427442411. The reversal of 78427442401 is 10424472487.

The square root of 78427442401 is 280049.

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

It can be written as a sum of positive squares in only one way, i.e., 2099014225 + 76328428176 = 45815^2 + 276276^2 .

It is not a de Polignac number, because 78427442401 - 2¹⁷ = 78427311329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78427442411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21561955 + ... + 21565591.

Almost surely, 2^78427442401 is an apocalyptic number.

78427442401 is the 280049-th square number.

78427442401 is the 140025-th centered octagonal number.

It is an amenable number.

78427442401 is a deficient number, since it is larger than the sum of its proper divisors (21879854066).

78427442401 is an frugal number, since it uses more digits than its factorization.

78427442401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 43.

The spelling of 78427442401 in words is "seventy-eight billion, four hundred twenty-seven million, four hundred forty-two thousand, four hundred one".