806244880 has 80 divisors (see below), whose sum is σ = 2152005120. Its totient is φ = 275175936.

The previous prime is 806244827. The next prime is 806244889. The reversal of 806244880 is 88442608.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (806244889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125097 + ... + 131383.

It is an arithmetic number, because the mean of its divisors is an integer number (26900064).

Almost surely, 2^806244880 is an apocalyptic number.

806244880 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 806244880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076002560).

806244880 is an abundant number, since it is smaller than the sum of its proper divisors (1345760240).

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

806244880 is a wasteful number, since it uses less digits than its factorization.

806244880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 806244880 is about 28394.4515706854. The cubic root of 806244880 is about 930.7270223645.

The spelling of 806244880 in words is "eight hundred six million, two hundred forty-four thousand, eight hundred eighty".