813005520800 has 144 divisors (see below), whose sum is σ = 2167876872000. Its totient is φ = 295270348800.

The previous prime is 813005520791. The next prime is 813005520809. The reversal of 813005520800 is 8025500318.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (813005520791) and next prime (813005520809).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (813005520809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7062101 + ... + 7176299.

It is an arithmetic number, because the mean of its divisors is an integer number (15054700500).

Almost surely, 2^813005520800 is an apocalyptic number.

813005520800 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 813005520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083938436000).

813005520800 is an abundant number, since it is smaller than the sum of its proper divisors (1354871351200).

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

813005520800 is a wasteful number, since it uses less digits than its factorization.

813005520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115039 (or 115026 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 813005520800 in words is "eight hundred thirteen billion, five million, five hundred twenty thousand, eight hundred".