810304017120 has 576 divisors, whose sum is σ = 3166057964160. Its totient is φ = 187182268416.

The previous prime is 810304017113. The next prime is 810304017161. The reversal of 810304017120 is 21710403018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22801926 + ... + 22837434.

It is an arithmetic number, because the mean of its divisors is an integer number (5496628410).

Almost surely, 2^810304017120 is an apocalyptic number.

810304017120 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 810304017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583028982080).

810304017120 is an abundant number, since it is smaller than the sum of its proper divisors (2355753947040).

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

810304017120 is a wasteful number, since it uses less digits than its factorization.

810304017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35619 (or 35608 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 810304017120 in words is "eight hundred ten billion, three hundred four million, seventeen thousand, one hundred twenty".