806112840 has 256 divisors, whose sum is σ = 2735308800. Its totient is φ = 188697600.

The previous prime is 806112833. The next prime is 806112859. The reversal of 806112840 is 48211608.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 806112798 and 806112807.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3820335 + ... + 3820545.

It is an arithmetic number, because the mean of its divisors is an integer number (10684800).

Almost surely, 2^806112840 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 806112840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367654400).

806112840 is an abundant number, since it is smaller than the sum of its proper divisors (1929195960).

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

806112840 is a wasteful number, since it uses less digits than its factorization.

806112840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 806112840 is about 28392.1263733451. The cubic root of 806112840 is about 930.6762107114.

The spelling of 806112840 in words is "eight hundred six million, one hundred twelve thousand, eight hundred forty".