813905160720 has 160 divisors (see below), whose sum is σ = 2672443238400. Its totient is φ = 204203950080.

The previous prime is 813905160697. The next prime is 813905160751. The reversal of 813905160720 is 27061509318.

It is a super-2 number, since 2×813905160720² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12374481 + ... + 12440079.

It is an arithmetic number, because the mean of its divisors is an integer number (16702770240).

Almost surely, 2^813905160720 is an apocalyptic number.

813905160720 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 813905160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336221619200).

813905160720 is an abundant number, since it is smaller than the sum of its proper divisors (1858538077680).

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

813905160720 is a wasteful number, since it uses less digits than its factorization.

813905160720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68673 (or 68667 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 813905160720 in words is "eight hundred thirteen billion, nine hundred five million, one hundred sixty thousand, seven hundred twenty".