806028840 has 256 divisors, whose sum is σ = 2794176000. Its totient is φ = 206530560.

The previous prime is 806028793. The next prime is 806028841. The reversal of 806028840 is 48820608.

806028840 is a `hidden beast` number, since 8 + 0 + 602 + 8 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 806028795 and 806028804.

It is not an unprimeable number, because it can be changed into a prime (806028841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4826437 + ... + 4826603.

It is an arithmetic number, because the mean of its divisors is an integer number (10914750).

Almost surely, 2^806028840 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 806028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088000).

806028840 is an abundant number, since it is smaller than the sum of its proper divisors (1988147160).

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

806028840 is a wasteful number, since it uses less digits than its factorization.

806028840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 806028840 is about 28390.6470514499. The cubic root of 806028840 is about 930.6438829307.

The spelling of 806028840 in words is "eight hundred six million, twenty-eight thousand, eight hundred forty".