813450727260 has 144 divisors (see below), whose sum is σ = 2624123882016. Its totient is φ = 203260624896.

The previous prime is 813450727247. The next prime is 813450727279. The reversal of 813450727260 is 62727054318.

813450727260 is a `hidden beast` number, since 8 + 1 + 3 + 450 + 72 + 72 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 109084 + ... + 1280156.

It is an arithmetic number, because the mean of its divisors is an integer number (18223082514).

Almost surely, 2^813450727260 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 813450727260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312061941008).

813450727260 is an abundant number, since it is smaller than the sum of its proper divisors (1810673154756).

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

813450727260 is a wasteful number, since it uses less digits than its factorization.

813450727260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171332 (or 1171327 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 813450727260 in words is "eight hundred thirteen billion, four hundred fifty million, seven hundred twenty-seven thousand, two hundred sixty".