806377248 has 96 divisors (see below), whose sum is σ = 2433110400. Its totient is φ = 259515648.

The previous prime is 806377241. The next prime is 806377259. The reversal of 806377248 is 842773608.

It is a happy number.

806377248 is a `hidden beast` number, since 8 + 0 + 637 + 7 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (806377241) 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, 8965 + ... + 41147.

It is an arithmetic number, because the mean of its divisors is an integer number (25344900).

Almost surely, 2^806377248 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 806377248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216555200).

806377248 is an abundant number, since it is smaller than the sum of its proper divisors (1626733152).

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

806377248 is a wasteful number, since it uses less digits than its factorization.

806377248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32231 (or 32217 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 806377248 is about 28396.7823529357. The cubic root of 806377248 is about 930.7779546705. Note that the first 3 decimals are identical.

The spelling of 806377248 in words is "eight hundred six million, three hundred seventy-seven thousand, two hundred forty-eight".