806459734080 has 2688 divisors, whose sum is σ = 3950061696000. Its totient is φ = 153791447040.

The previous prime is 806459734057. The next prime is 806459734099. The reversal of 806459734080 is 80437954608.

806459734080 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 597 + 3 + 40 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4661616874 + ... + 4661617046.

It is an arithmetic number, because the mean of its divisors is an integer number (1469517000).

Almost surely, 2^806459734080 is an apocalyptic number.

806459734080 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 806459734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975030848000).

806459734080 is an abundant number, since it is smaller than the sum of its proper divisors (3143601961920).

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

806459734080 is a wasteful number, since it uses less digits than its factorization.

806459734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 806459734080 in words is "eight hundred six billion, four hundred fifty-nine million, seven hundred thirty-four thousand, eighty".