7078201200 has 720 divisors, whose sum is σ = 29685766656. Its totient is φ = 1586304000.

The previous prime is 7078201199. The next prime is 7078201219. The reversal of 7078201200 is 21028707.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68720349 + ... + 68720451.

Almost surely, 2^7078201200 is an apocalyptic number.

7078201200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7078201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842883328).

7078201200 is an abundant number, since it is smaller than the sum of its proper divisors (22607565456).

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

7078201200 is a wasteful number, since it uses less digits than its factorization.

7078201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7078201200 is about 84132.0462130810. The cubic root of 7078201200 is about 1920.0283198948.

Adding to 7078201200 its reverse (21028707), we get a palindrome (7099229907).

The spelling of 7078201200 in words is "seven billion, seventy-eight million, two hundred one thousand, two hundred".