78199200 has 108 divisors (see below), whose sum is σ = 275775318. Its totient is φ = 20851200.

The previous prime is 78199181. The next prime is 78199213. The reversal of 78199200 is 299187.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 54110736 + 24088464 = 7356^2 + 4908^2 .

It is a super-2 number, since 2×78199200² = 12230229761280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1770 + ... + 12630.

Almost surely, 2^78199200 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 78199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137887659).

78199200 is an abundant number, since it is smaller than the sum of its proper divisors (197576118).

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

78199200 is a wasteful number, since it uses less digits than its factorization.

78199200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10887 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 78199200 is about 8843.0311545307. The cubic root of 78199200 is about 427.6292827415.

The spelling of 78199200 in words is "seventy-eight million, one hundred ninety-nine thousand, two hundred".