7913452800 has 432 divisors, whose sum is σ = 28878776640. Its totient is φ = 1892352000.

The previous prime is 7913452787. The next prime is 7913452837. The reversal of 7913452800 is 82543197.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 18796590 + ... + 18797010.

It is an arithmetic number, because the mean of its divisors is an integer number (66849020).

Almost surely, 2^7913452800 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 7913452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439388320).

7913452800 is an abundant number, since it is smaller than the sum of its proper divisors (20965323840).

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

7913452800 is a wasteful number, since it uses less digits than its factorization.

7913452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 7913452800 is about 88957.5898954103. The cubic root of 7913452800 is about 1992.7615674854.

Adding to 7913452800 its reverse (82543197), we get a palindrome (7995995997).

The spelling of 7913452800 in words is "seven billion, nine hundred thirteen million, four hundred fifty-two thousand, eight hundred".