7225881600 has 264 divisors, whose sum is σ = 27295647808. Its totient is φ = 1651507200.

The previous prime is 7225881587. The next prime is 7225881601. The reversal of 7225881600 is 61885227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7225881601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 530880 + ... + 544320.

Almost surely, 2^7225881600 is an apocalyptic number.

7225881600 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 7225881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13647823904).

7225881600 is an abundant number, since it is smaller than the sum of its proper divisors (20069766208).

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

7225881600 is a wasteful number, since it uses less digits than its factorization.

7225881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13481 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 7225881600 is about 85005.1857241663. The cubic root of 7225881600 is about 1933.2897440298.

The spelling of 7225881600 in words is "seven billion, two hundred twenty-five million, eight hundred eighty-one thousand, six hundred".