806428080 has 240 divisors, whose sum is σ = 2798496480. Its totient is φ = 208023552.

The previous prime is 806428069. The next prime is 806428121. The reversal of 806428080 is 80824608.

806428080 is a `hidden beast` number, since 8 + 0 + 642 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3521406 + ... + 3521634.

It is an arithmetic number, because the mean of its divisors is an integer number (11660402).

Almost surely, 2^806428080 is an apocalyptic number.

806428080 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 806428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399248240).

806428080 is an abundant number, since it is smaller than the sum of its proper divisors (1992068400).

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

806428080 is a wasteful number, since it uses less digits than its factorization.

806428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

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

The square root of 806428080 is about 28397.6773698132. The cubic root of 806428080 is about 930.7975122291.

The spelling of 806428080 in words is "eight hundred six million, four hundred twenty-eight thousand, eighty".