78203200 has 84 divisors (see below), whose sum is σ = 197779132. Its totient is φ = 30412800.

The previous prime is 78203161. The next prime is 78203263. The reversal of 78203200 is 230287.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8714304 + 69488896 = 2952^2 + 8336^2 .

It is a super-2 number, since 2×78203200² = 12231480980480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58540 + ... + 59860.

Almost surely, 2^78203200 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 78203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98889566).

78203200 is an abundant number, since it is smaller than the sum of its proper divisors (119575932).

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

78203200 is a wasteful number, since it uses less digits than its factorization.

78203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 78203200 is about 8843.2573184319. The cubic root of 78203200 is about 427.6365738987.

Adding to 78203200 its reverse (230287), we get a palindrome (78433487).

The spelling of 78203200 in words is "seventy-eight million, two hundred three thousand, two hundred".