78128200 has 48 divisors (see below), whose sum is σ = 183308580. Its totient is φ = 30965760.

The previous prime is 78128191. The next prime is 78128203. The reversal of 78128200 is 282187.

It can be written as a sum of positive squares in 6 ways, for example, as 17956 + 78110244 = 134^2 + 8838^2 .

It is a super-2 number, since 2×78128200² = 12208031270480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78128203) 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, 20872 + ... + 24328.

Almost surely, 2^78128200 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 78128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91654290).

78128200 is an abundant number, since it is smaller than the sum of its proper divisors (105180380).

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

78128200 is a wasteful number, since it uses less digits than its factorization.

78128200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 78128200 is about 8839.0157823142. The cubic root of 78128200 is about 427.4998233074.

The spelling of 78128200 in words is "seventy-eight million, one hundred twenty-eight thousand, two hundred".