78114336 has 48 divisors (see below), whose sum is σ = 205527168. Its totient is φ = 25977600.

The previous prime is 78114299. The next prime is 78114341. The reversal of 78114336 is 63341187.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78114336² = 12203698977441792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78114297 and 78114306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62841 + ... + 64071.

It is an arithmetic number, because the mean of its divisors is an integer number (4281816).

Almost surely, 2^78114336 is an apocalyptic number.

It is an amenable number.

78114336 is an abundant number, since it is smaller than the sum of its proper divisors (127412832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78114336 is a wasteful number, since it uses less digits than its factorization.

78114336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1897 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 78114336 is about 8838.2314973076. The cubic root of 78114336 is about 427.4745349217.

The spelling of 78114336 in words is "seventy-eight million, one hundred fourteen thousand, three hundred thirty-six".