813785850 has 144 divisors (see below), whose sum is σ = 2252367000. Its totient is φ = 210562560.

The previous prime is 813785821. The next prime is 813785857. The reversal of 813785850 is 58587318.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 127712601 + 686073249 = 11301^2 + 26193^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 813785796 and 813785805.

It is not an unprimeable number, because it can be changed into a prime (813785857) 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 71 ways as a sum of consecutive naturals, for example, 3553536 + ... + 3553764.

Almost surely, 2^813785850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813785850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126183500).

813785850 is an abundant number, since it is smaller than the sum of its proper divisors (1438581150).

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

813785850 is a wasteful number, since it uses less digits than its factorization.

813785850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 813785850 is about 28526.9320116973. The cubic root of 813785850 is about 933.6197809838.

The spelling of 813785850 in words is "eight hundred thirteen million, seven hundred eighty-five thousand, eight hundred fifty".