806338800 has 300 divisors, whose sum is σ = 2969351616. Its totient is φ = 209433600.

The previous prime is 806338789. The next prime is 806338831. The reversal of 806338800 is 8833608.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1328097 + ... + 1328703.

Almost surely, 2^806338800 is an apocalyptic number.

806338800 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 806338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484675808).

806338800 is an abundant number, since it is smaller than the sum of its proper divisors (2163012816).

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

806338800 is a wasteful number, since it uses less digits than its factorization.

806338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 806338800 is about 28396.1053667576. The cubic root of 806338800 is about 930.7631612970.

The spelling of 806338800 in words is "eight hundred six million, three hundred thirty-eight thousand, eight hundred".