812802816 has 288 divisors, whose sum is σ = 2790305280. Its totient is φ = 228593664.

The previous prime is 812802811. The next prime is 812802847. The reversal of 812802816 is 618208218.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812802811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5177010 + ... + 5177166.

It is an arithmetic number, because the mean of its divisors is an integer number (9688560).

Almost surely, 2^812802816 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 812802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395152640).

812802816 is an abundant number, since it is smaller than the sum of its proper divisors (1977502464).

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

812802816 is a wasteful number, since it uses less digits than its factorization.

812802816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 812802816 is about 28509.6968766769. The cubic root of 812802816 is about 933.2436993287.

The spelling of 812802816 in words is "eight hundred twelve million, eight hundred two thousand, eight hundred sixteen".