78555312 has 160 divisors (see below), whose sum is σ = 250936320. Its totient is φ = 23328000.

The previous prime is 78555307. The next prime is 78555313. The reversal of 78555312 is 21355587.

78555312 is a `hidden beast` number, since 78 + 55 + 531 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (78555313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289737 + ... + 290007.

It is an arithmetic number, because the mean of its divisors is an integer number (1568352).

Almost surely, 2^78555312 is an apocalyptic number.

78555312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78555312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125468160).

78555312 is an abundant number, since it is smaller than the sum of its proper divisors (172381008).

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

78555312 is a wasteful number, since it uses less digits than its factorization.

78555312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 78555312 is about 8863.1434604208. The cubic root of 78555312 is about 428.2774280757.

The spelling of 78555312 in words is "seventy-eight million, five hundred fifty-five thousand, three hundred twelve".