813774816 has 96 divisors (see below), whose sum is σ = 2395562400. Its totient is φ = 268738560.

The previous prime is 813774809. The next prime is 813774827. The reversal of 813774816 is 618477318.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89856 + ... + 98496.

It is an arithmetic number, because the mean of its divisors is an integer number (24953775).

Almost surely, 2^813774816 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 813774816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197781200).

813774816 is an abundant number, since it is smaller than the sum of its proper divisors (1581787584).

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

813774816 is a wasteful number, since it uses less digits than its factorization.

813774816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8755 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 813774816 is about 28526.7386148505. The cubic root of 813774816 is about 933.6155613613.

The spelling of 813774816 in words is "eight hundred thirteen million, seven hundred seventy-four thousand, eight hundred sixteen".