806459347200 has 1296 divisors, whose sum is σ = 3087215738880. Its totient is φ = 184772689920.

The previous prime is 806459347157. The next prime is 806459347207. The reversal of 806459347200 is 2743954608.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 806459347200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806459347207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6350073537 + ... + 6350073663.

Almost surely, 2^806459347200 is an apocalyptic number.

806459347200 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 806459347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543607869440).

806459347200 is an abundant number, since it is smaller than the sum of its proper divisors (2280756391680).

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

806459347200 is a wasteful number, since it uses less digits than its factorization.

806459347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 806459347200 in words is "eight hundred six billion, four hundred fifty-nine million, three hundred forty-seven thousand, two hundred".