806289120 has 576 divisors, whose sum is σ = 3547333440. Its totient is φ = 169537536.

The previous prime is 806289101. The next prime is 806289131. The reversal of 806289120 is 21982608.

806289120 is a `hidden beast` number, since 8 + 0 + 628 + 9 + 1 + 20 = 666.

806289120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 2751694 + ... + 2751986.

It is an arithmetic number, because the mean of its divisors is an integer number (6158565).

Almost surely, 2^806289120 is an apocalyptic number.

806289120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773666720).

806289120 is an abundant number, since it is smaller than the sum of its proper divisors (2741044320).

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

806289120 is a wasteful number, since it uses less digits than its factorization.

806289120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

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

The square root of 806289120 is about 28395.2305854346. The cubic root of 806289120 is about 930.7440455673.

The spelling of 806289120 in words is "eight hundred six million, two hundred eighty-nine thousand, one hundred twenty".