806387260800 has 768 divisors, whose sum is σ = 2946973881600. Its totient is φ = 192184320000.

The previous prime is 806387260739. The next prime is 806387260817. The reversal of 806387260800 is 8062783608.

It is a happy number.

It is a super-3 number, since 3×806387260800³ (a number of 37 digits) contains 333 as substring.

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 806387260800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010940600 + ... + 2010941000.

It is an arithmetic number, because the mean of its divisors is an integer number (3837205575).

Almost surely, 2^806387260800 is an apocalyptic number.

806387260800 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 806387260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473486940800).

806387260800 is an abundant number, since it is smaller than the sum of its proper divisors (2140586620800).

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

806387260800 is a wasteful number, since it uses less digits than its factorization.

806387260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 806387260800 in words is "eight hundred six billion, three hundred eighty-seven million, two hundred sixty thousand, eight hundred".