78270693361 has 27 divisors (see below), whose sum is σ = 96761647947. Its totient is φ = 63115886400.

The previous prime is 78270693323. The next prime is 78270693419. The reversal of 78270693361 is 16339607287.

It is a happy number.

The square root of 78270693361 is 279769.

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., 60937391025 + 17333302336 = 246855^2 + 131656^2 .

It is not a de Polignac number, because 78270693361 - 2¹⁹ = 78270169073 is a prime.

It is a super-2 number, since 2×78270693361² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78270693299 and 78270693308.

It is not an unprimeable number, because it can be changed into a prime (78270613361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33291336 + ... + 33293686.

Almost surely, 2^78270693361 is an apocalyptic number.

78270693361 is the 279769-th square number.

78270693361 is the 139885-th centered octagonal number.

It is an amenable number.

78270693361 is a deficient number, since it is larger than the sum of its proper divisors (18490954586).

78270693361 is an frugal number, since it uses more digits than its factorization.

78270693361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 78270693361 in words is "seventy-eight billion, two hundred seventy million, six hundred ninety-three thousand, three hundred sixty-one".