7725227400 has 288 divisors, whose sum is σ = 28590045120. Its totient is φ = 1853760000.

The previous prime is 7725227399. The next prime is 7725227417. The reversal of 7725227400 is 47225277.

7725227400 is a `hidden beast` number, since 7 + 7 + 25 + 227 + 400 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1997869 + ... + 2001731.

It is an arithmetic number, because the mean of its divisors is an integer number (99270990).

Almost surely, 2^7725227400 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 7725227400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295022560).

7725227400 is an abundant number, since it is smaller than the sum of its proper divisors (20864817720).

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

7725227400 is a wasteful number, since it uses less digits than its factorization.

7725227400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 7725227400 is about 87893.2727801167. The cubic root of 7725227400 is about 1976.8350108659.

The spelling of 7725227400 in words is "seven billion, seven hundred twenty-five million, two hundred twenty-seven thousand, four hundred".