813943872 has 336 divisors, whose sum is σ = 2845320192. Its totient is φ = 217451520.

The previous prime is 813943853. The next prime is 813943883. The reversal of 813943872 is 278349318.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

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, 6213247 + ... + 6213377.

Almost surely, 2^813943872 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 813943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422660096).

813943872 is an abundant number, since it is smaller than the sum of its proper divisors (2031376320).

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

813943872 is a wasteful number, since it uses less digits than its factorization.

813943872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 813943872 is about 28529.7015757263. The cubic root of 813943872 is about 933.6802075758.

The spelling of 813943872 in words is "eight hundred thirteen million, nine hundred forty-three thousand, eight hundred seventy-two".