78110461 has 48 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 58544640.

The previous prime is 78110429. The next prime is 78110467. The reversal of 78110461 is 16401187.

It is not a de Polignac number, because 78110461 - 2⁵ = 78110429 is a prime.

It is a super-3 number, since 3×78110461³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78110467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614980 + ... + 615106.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2^78110461 is an apocalyptic number.

It is an amenable number.

78110461 is a deficient number, since it is larger than the sum of its proper divisors (24850691).

78110461 is a wasteful number, since it uses less digits than its factorization.

78110461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 78110461 is about 8838.0122765246. The cubic root of 78110461 is about 427.4674662610.

The spelling of 78110461 in words is "seventy-eight million, one hundred ten thousand, four hundred sixty-one".