78725200 has 60 divisors (see below), whose sum is σ = 191181340. Its totient is φ = 31150080.

The previous prime is 78725191. The next prime is 78725203. The reversal of 78725200 is 252787.

It can be written as a sum of positive squares in 6 ways, for example, as 2547216 + 76177984 = 1596^2 + 8728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78725203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37786 + ... + 39814.

Almost surely, 2^78725200 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 78725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95590670).

78725200 is an abundant number, since it is smaller than the sum of its proper divisors (112456140).

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

78725200 is a wasteful number, since it uses less digits than its factorization.

78725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 78725200 is about 8872.7222429196. The cubic root of 78725200 is about 428.5859444819.

Adding to 78725200 its reverse (252787), we get a palindrome (78977987).

The spelling of 78725200 in words is "seventy-eight million, seven hundred twenty-five thousand, two hundred".