78672340886049 has 91 divisors (see below), whose sum is σ = 123372457152673. Its totient is φ = 50167869550524.

The previous prime is 78672340886039. The next prime is 78672340886089. The reversal of 78672340886049 is 94068804327687.

The square root of 78672340886049 is 8869743.

The cubic root of 78672340886049 is 42849.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

78672340886049 is a `hidden beast` number, since 7 + 8 + 6 + 7 + 2 + 3 + 4 + 0 + 8 + 8 + 604 + 9 = 666.

It is not a de Polignac number, because 78672340886049 - 2⁷ = 78672340885921 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (78672340886039) by changing a digit.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 3420536560252 + ... + 3420536560274.

Almost surely, 2^{78672340886049} is an apocalyptic number.

78672340886049 is the 8869743-rd square number.

78672340886049 is the 4434872-nd centered octagonal number.

It is an amenable number.

78672340886049 is a deficient number, since it is larger than the sum of its proper divisors (44700116266624).

78672340886049 is an frugal number, since it uses more digits than its factorization.

78672340886049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 78672340886049 in words is "seventy-eight trillion, six hundred seventy-two billion, three hundred forty million, eight hundred eighty-six thousand, forty-nine".