78067809688801 has 9 divisors (see below), whose sum is σ = 79020460254099. Its totient is φ = 77126509149336.

The previous prime is 78067809688769. The next prime is 78067809688807. The reversal of 78067809688801 is 10888690876087.

The square root of 78067809688801 is 8835599.

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., 63218162470225 + 14849647218576 = 7950985^2 + 3853524^2 .

It is not a de Polignac number, because 78067809688801 - 2⁵ = 78067809688769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78067809688807) 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, 733301491 + ... + 733407943.

Almost surely, 2^{78067809688801} is an apocalyptic number.

78067809688801 is the 8835599-th square number.

78067809688801 is the 4417800-th centered octagonal number.

It is an amenable number.

78067809688801 is a deficient number, since it is larger than the sum of its proper divisors (952650565298).

78067809688801 is an frugal number, since it uses more digits than its factorization.

78067809688801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213072 (or 106536 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 76.

The spelling of 78067809688801 in words is "seventy-eight trillion, sixty-seven billion, eight hundred nine million, six hundred eighty-eight thousand, eight hundred one".