78300 has 72 divisors (see below), whose sum is σ = 260400. Its totient is φ = 20160.

The previous prime is 78283. The next prime is 78301. The reversal of 78300 is 387.

It is a super-2 number, since 2×78300² = 12261780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78301) by changing a digit.

78300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2686 + ... + 2714.

2⁷⁸³⁰⁰ 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 78300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130200).

78300 is an abundant number, since it is smaller than the sum of its proper divisors (182100).

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

78300 is a wasteful number, since it uses less digits than its factorization.

78300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 78300 is about 279.8213715927. The cubic root of 78300 is about 42.7812944143.

Adding to 78300 its reverse (387), we get a palindrome (78687).

It can be divided in two parts, 78 and 300, that added together give a triangular number (378 = T₂₇).

The spelling of 78300 in words is "seventy-eight thousand, three hundred".