806407880 has 64 divisors (see below), whose sum is σ = 1915056000. Its totient is φ = 304763904.

The previous prime is 806407837. The next prime is 806407891. The reversal of 806407880 is 88704608.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 332432 + ... + 334848.

It is an arithmetic number, because the mean of its divisors is an integer number (29922750).

Almost surely, 2^806407880 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 806407880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957528000).

806407880 is an abundant number, since it is smaller than the sum of its proper divisors (1108648120).

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

806407880 is a wasteful number, since it uses less digits than its factorization.

806407880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 806407880 is about 28397.3217046960. The cubic root of 806407880 is about 930.7897403987.

The spelling of 806407880 in words is "eight hundred six million, four hundred seven thousand, eight hundred eighty".