78200 has 48 divisors (see below), whose sum is σ = 200880. Its totient is φ = 28160.

The previous prime is 78193. The next prime is 78203. The reversal of 78200 is 287.

It is a super-2 number, since 2×78200² = 12230480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78203) by changing a digit.

78200 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 11 ways as a sum of consecutive naturals, for example, 3389 + ... + 3411.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2⁷⁸²⁰⁰ 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 78200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

78200 is an abundant number, since it is smaller than the sum of its proper divisors (122680).

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

78200 is a wasteful number, since it uses less digits than its factorization.

78200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 78200 is about 279.6426290822. The cubic root of 78200 is about 42.7630740993.

Adding to 78200 its reverse (287), we get a palindrome (78487).

The spelling of 78200 in words is "seventy-eight thousand, two hundred".