78228200 has 48 divisors (see below), whose sum is σ = 182970060. Its totient is φ = 31104000.

The previous prime is 78228197. The next prime is 78228229. The reversal of 78228200 is 282287.

It can be written as a sum of positive squares in 6 ways, for example, as 10099684 + 68128516 = 3178^2 + 8254^2 .

It is a super-2 number, since 2×78228200² = 12239302550480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35120 + ... + 37280.

Almost surely, 2^78228200 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 78228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91485030).

78228200 is an abundant number, since it is smaller than the sum of its proper divisors (104741860).

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

78228200 is a wasteful number, since it uses less digits than its factorization.

78228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 78228200 is about 8844.6707117902. The cubic root of 78228200 is about 427.6821379989.

It can be divided in two parts, 782 and 28200, that added together give a palindrome (28982).

The spelling of 78228200 in words is "seventy-eight million, two hundred twenty-eight thousand, two hundred".