78960438001 has 9 divisors (see below), whose sum is σ = 79260273099. Its totient is φ = 78661736064.

The previous prime is 78960437987. The next prime is 78960438017. The reversal of 78960438001 is 10083406987.

It is a happy number.

The square root of 78960438001 is 280999.

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., 78414000625 + 546437376 = 280025^2 + 23376^2 .

It is not a de Polignac number, because 78960438001 - 2⁷ = 78960437873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78960438061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 136846225 + ... + 136846801.

It is an arithmetic number, because the mean of its divisors is an integer number (8806697011).

Almost surely, 2^78960438001 is an apocalyptic number.

78960438001 is the 280999-th square number.

78960438001 is the 140500-th centered octagonal number.

It is an amenable number.

78960438001 is a deficient number, since it is larger than the sum of its proper divisors (299835098).

78960438001 is an frugal number, since it uses more digits than its factorization.

78960438001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

It can be divided in two parts, 78960 and 438001, that added together give a square (516961 = 719²).

The spelling of 78960438001 in words is "seventy-eight billion, nine hundred sixty million, four hundred thirty-eight thousand, one".