7253452800 has 864 divisors, whose sum is σ = 29942771040. Its totient is φ = 1725235200.

The previous prime is 7253452793. The next prime is 7253452837. The reversal of 7253452800 is 82543527.

7253452800 is a `hidden beast` number, since 72 + 534 + 52 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×7253452800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136857574 + ... + 136857626.

It is an arithmetic number, because the mean of its divisors is an integer number (34655985).

Almost surely, 2^7253452800 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 7253452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971385520).

7253452800 is an abundant number, since it is smaller than the sum of its proper divisors (22689318240).

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

7253452800 is a wasteful number, since it uses less digits than its factorization.

7253452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 7253452800 is about 85167.2049558984. The cubic root of 7253452800 is about 1935.7455212721.

The spelling of 7253452800 in words is "seven billion, two hundred fifty-three million, four hundred fifty-two thousand, eight hundred".