78096214849 has 27 divisors (see below), whose sum is σ = 82011194307. Its totient is φ = 74366861184.

The previous prime is 78096214829. The next prime is 78096214873. The reversal of 78096214849 is 94841269087.

The square root of 78096214849 is 279457.

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., 35068180225 + 43028034624 = 187265^2 + 207432^2 .

It is not a de Polignac number, because 78096214849 - 2²⁷ = 77961997121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78096214793 and 78096214802.

It is not an unprimeable number, because it can be changed into a prime (78096214829) 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, 805115569 + ... + 805115665.

It is an arithmetic number, because the mean of its divisors is an integer number (3037451641).

Almost surely, 2^78096214849 is an apocalyptic number.

78096214849 is the 279457-th square number.

78096214849 is the 139729-th centered octagonal number.

It is an amenable number.

78096214849 is a deficient number, since it is larger than the sum of its proper divisors (3914979458).

78096214849 is an frugal number, since it uses more digits than its factorization.

78096214849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 78096214849 in words is "seventy-eight billion, ninety-six million, two hundred fourteen thousand, eight hundred forty-nine".