813608224800 has 288 divisors, whose sum is σ = 3028720149504. Its totient is φ = 185838720000.

The previous prime is 813608224799. The next prime is 813608224829. The reversal of 813608224800 is 8422806318.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25368775 + ... + 25400825.

It is an arithmetic number, because the mean of its divisors is an integer number (10516389408).

Almost surely, 2^813608224800 is an apocalyptic number.

813608224800 is a gapful number since it is divisible by the number (80) 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 813608224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514360074752).

813608224800 is an abundant number, since it is smaller than the sum of its proper divisors (2215111924704).

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

813608224800 is a wasteful number, since it uses less digits than its factorization.

813608224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33592 (or 33579 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 813608224800 in words is "eight hundred thirteen billion, six hundred eight million, two hundred twenty-four thousand, eight hundred".