806825880 has 512 divisors, whose sum is σ = 3338496000. Its totient is φ = 169205760.

The previous prime is 806825869. The next prime is 806825881. The reversal of 806825880 is 88528608.

806825880 is a `hidden beast` number, since 8 + 0 + 68 + 2 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806825881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5889172 + ... + 5889308.

It is an arithmetic number, because the mean of its divisors is an integer number (6520500).

Almost surely, 2^806825880 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 806825880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669248000).

806825880 is an abundant number, since it is smaller than the sum of its proper divisors (2531670120).

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

806825880 is a wasteful number, since it uses less digits than its factorization.

806825880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 806825880 is about 28404.6806002109. The cubic root of 806825880 is about 930.9505369865.

The spelling of 806825880 in words is "eight hundred six million, eight hundred twenty-five thousand, eight hundred eighty".