813878220 has 48 divisors (see below), whose sum is σ = 2280202848. Its totient is φ = 216906240.

The previous prime is 813878203. The next prime is 813878227. The reversal of 813878220 is 22878318.

It is a super-3 number, since 3×813878220³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (813878227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143682 + ... + 149238.

It is an arithmetic number, because the mean of its divisors is an integer number (47504226).

Almost surely, 2^813878220 is an apocalyptic number.

It is an amenable number.

813878220 is an abundant number, since it is smaller than the sum of its proper divisors (1466324628).

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

813878220 is a wasteful number, since it uses less digits than its factorization.

813878220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8010 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 813878220 is about 28528.5509621502. The cubic root of 813878220 is about 933.6551036249.

The spelling of 813878220 in words is "eight hundred thirteen million, eight hundred seventy-eight thousand, two hundred twenty".