78360 has 32 divisors (see below), whose sum is σ = 235440. Its totient is φ = 20864.

The previous prime is 78347. The next prime is 78367. The reversal of 78360 is 6387.

It is a super-2 number, since 2×78360² = 12280579200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 78360.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 446.

2⁷⁸³⁶⁰ is an apocalyptic number.

It is an amenable number.

78360 is an abundant number, since it is smaller than the sum of its proper divisors (157080).

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 (117720).

78360 is a wasteful number, since it uses less digits than its factorization.

78360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 78360 is about 279.9285623155. The cubic root of 78360 is about 42.7922191580.

The spelling of 78360 in words is "seventy-eight thousand, three hundred sixty".