78364 has 24 divisors (see below), whose sum is σ = 162288. Its totient is φ = 32640.

The previous prime is 78347. The next prime is 78367. The reversal of 78364 is 46387.

It is a super-2 number, since 2×78364² = 12281832992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (6762).

2⁷⁸³⁶⁴ is an apocalyptic number.

It is an amenable number.

78364 is an abundant number, since it is smaller than the sum of its proper divisors (83924).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81144).

78364 is a wasteful number, since it uses less digits than its factorization.

78364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 78364 is about 279.9357069043. The cubic root of 78364 is about 42.7929472759.

The spelling of 78364 in words is "seventy-eight thousand, three hundred sixty-four".