806133600 has 144 divisors (see below), whose sum is σ = 2915594640. Its totient is φ = 214963200.

The previous prime is 806133593. The next prime is 806133607. The reversal of 806133600 is 6331608.

It is an interprime number because it is at equal distance from previous prime (806133593) and next prime (806133607).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806133607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2940 + ... + 40260.

It is an arithmetic number, because the mean of its divisors is an integer number (20247185).

Almost surely, 2^806133600 is an apocalyptic number.

806133600 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 806133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457797320).

806133600 is an abundant number, since it is smaller than the sum of its proper divisors (2109461040).

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

806133600 is a wasteful number, since it uses less digits than its factorization.

806133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37350 (or 37331 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 806133600 is about 28392.4919653066. The cubic root of 806133600 is about 930.6841999454.

The spelling of 806133600 in words is "eight hundred six million, one hundred thirty-three thousand, six hundred".