78280200 has 144 divisors (see below), whose sum is σ = 265520580. Its totient is φ = 20666880.

The previous prime is 78280199. The next prime is 78280207. The reversal of 78280200 is 208287.

It can be written as a sum of positive squares in 6 ways, for example, as 9622404 + 68657796 = 3102^2 + 8286^2 .

It is a super-2 number, since 2×78280200² = 12255579424080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78280207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282462 + ... + 282738.

Almost surely, 2^78280200 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 78280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132760290).

78280200 is an abundant number, since it is smaller than the sum of its proper divisors (187240380).

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

78280200 is a wasteful number, since it uses less digits than its factorization.

78280200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 78280200 is about 8847.6098467326. The cubic root of 78280200 is about 427.7768802415.

Adding to 78280200 its reverse (208287), we get a palindrome (78488487).

The spelling of 78280200 in words is "seventy-eight million, two hundred eighty thousand, two hundred".