78312960 has 320 divisors, whose sum is σ = 306408960. Its totient is φ = 18800640.

The previous prime is 78312947. The next prime is 78312961. The reversal of 78312960 is 6921387.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×78312960² = 12265839407923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78312961) 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 31 ways as a sum of consecutive naturals, for example, 760269 + ... + 760371.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^78312960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

78312960 is an abundant number, since it is smaller than the sum of its proper divisors (228096000).

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

78312960 is a wasteful number, since it uses less digits than its factorization.

78312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 78312960 is about 8849.4610005356. The cubic root of 78312960 is about 427.8365463134.

The spelling of 78312960 in words is "seventy-eight million, three hundred twelve thousand, nine hundred sixty".