78789312 has 84 divisors (see below), whose sum is σ = 258110736. Its totient is φ = 22510080.

The previous prime is 78789301. The next prime is 78789313. The reversal of 78789312 is 21398787.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78789313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5739 + ... + 13802.

Almost surely, 2^78789312 is an apocalyptic number.

78789312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78789312 is an abundant number, since it is smaller than the sum of its proper divisors (179321424).

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

78789312 is a wasteful number, since it uses less digits than its factorization.

78789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19566 (or 19553 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 78789312 is about 8876.3343785597. The cubic root of 78789312 is about 428.7022564397.

The spelling of 78789312 in words is "seventy-eight million, seven hundred eighty-nine thousand, three hundred twelve".