78366312 has 64 divisors (see below), whose sum is σ = 218433600. Its totient is φ = 26032320.

The previous prime is 78366307. The next prime is 78366331. The reversal of 78366312 is 21366387.

It is a happy number.

It is a super-2 number, since 2×78366312² = 12282557712962688, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 99183 + ... + 99969.

It is an arithmetic number, because the mean of its divisors is an integer number (3413025).

Almost surely, 2^78366312 is an apocalyptic number.

78366312 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 78366312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109216800).

78366312 is an abundant number, since it is smaller than the sum of its proper divisors (140067288).

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

78366312 is a wasteful number, since it uses less digits than its factorization.

78366312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1253 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 78366312 is about 8852.4749081825. The cubic root of 78366312 is about 427.9336811676.

The spelling of 78366312 in words is "seventy-eight million, three hundred sixty-six thousand, three hundred twelve".