7255198800 has 180 divisors, whose sum is σ = 26658812700. Its totient is φ = 1820897280.

The previous prime is 7255198793. The next prime is 7255198843. The reversal of 7255198800 is 88915527.

It is a happy number.

7255198800 is a `hidden beast` number, since 7 + 2 + 551 + 98 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 680583744 + 6574615056 = 26088^2 + 81084^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-5 number, since 5×7255198800⁵ (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1926 + ... + 120474.

It is an arithmetic number, because the mean of its divisors is an integer number (148104515).

Almost surely, 2^7255198800 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 7255198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329406350).

7255198800 is an abundant number, since it is smaller than the sum of its proper divisors (19403613900).

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

7255198800 is a wasteful number, since it uses less digits than its factorization.

7255198800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118590 (or 118576 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 7255198800 is about 85177.4547635699. The cubic root of 7255198800 is about 1935.9008284810.

The spelling of 7255198800 in words is "seven billion, two hundred fifty-five million, one hundred ninety-eight thousand, eight hundred".