806012892 has 72 divisors (see below), whose sum is σ = 2118916800. Its totient is φ = 258023808.

The previous prime is 806012887. The next prime is 806012953. The reversal of 806012892 is 298210608.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203709 + ... + 207627.

It is an arithmetic number, because the mean of its divisors is an integer number (29429400).

Almost surely, 2^806012892 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 806012892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059458400).

806012892 is an abundant number, since it is smaller than the sum of its proper divisors (1312903908).

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

806012892 is a wasteful number, since it uses less digits than its factorization.

806012892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4150 counting only the distinct ones).

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

The square root of 806012892 is about 28390.3661829149. The cubic root of 806012892 is about 930.6377450169.

The spelling of 806012892 in words is "eight hundred six million, twelve thousand, eight hundred ninety-two".