7725219840 has 576 divisors, whose sum is σ = 29934290880. Its totient is φ = 1840250880.

The previous prime is 7725219833. The next prime is 7725219841. The reversal of 7725219840 is 489125277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7725219841) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 249200625 + ... + 249200655.

It is an arithmetic number, because the mean of its divisors is an integer number (51969255).

Almost surely, 2^7725219840 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 7725219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967145440).

7725219840 is an abundant number, since it is smaller than the sum of its proper divisors (22209071040).

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

7725219840 is a wasteful number, since it uses less digits than its factorization.

7725219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7725219840 is about 87893.2297734018. The cubic root of 7725219840 is about 1976.8343660142.

The spelling of 7725219840 in words is "seven billion, seven hundred twenty-five million, two hundred nineteen thousand, eight hundred forty".