810849312 has 192 divisors, whose sum is σ = 2911023360. Its totient is φ = 213829632.

The previous prime is 810849307. The next prime is 810849341. The reversal of 810849312 is 213948018.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73468 + ... + 83780.

It is an arithmetic number, because the mean of its divisors is an integer number (15161580).

Almost surely, 2^810849312 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 810849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455511680).

810849312 is an abundant number, since it is smaller than the sum of its proper divisors (2100174048).

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

810849312 is a wasteful number, since it uses less digits than its factorization.

810849312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 810849312 is about 28475.4159232135. The cubic root of 810849312 is about 932.4954416661.

The spelling of 810849312 in words is "eight hundred ten million, eight hundred forty-nine thousand, three hundred twelve".