806847360 has 384 divisors, whose sum is σ = 2969326080. Its totient is φ = 185856000.

The previous prime is 806847359. The next prime is 806847397. The reversal of 806847360 is 63748608.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5343285 + ... + 5343435.

It is an arithmetic number, because the mean of its divisors is an integer number (7732620).

Almost surely, 2^806847360 is an apocalyptic number.

806847360 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 806847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484663040).

806847360 is an abundant number, since it is smaller than the sum of its proper divisors (2162478720).

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

806847360 is a wasteful number, since it uses less digits than its factorization.

806847360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 806847360 is about 28405.0587043928. The cubic root of 806847360 is about 930.9587984303.

The spelling of 806847360 in words is "eight hundred six million, eight hundred forty-seven thousand, three hundred sixty".