806203440 has 240 divisors, whose sum is σ = 3257529600. Its totient is φ = 174555648.

The previous prime is 806203423. The next prime is 806203457. The reversal of 806203440 is 44302608.

806203440 is a `hidden beast` number, since 8 + 0 + 620 + 34 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (806203423) and next prime (806203457).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91551 + ... + 99969.

It is an arithmetic number, because the mean of its divisors is an integer number (13573040).

Almost surely, 2^806203440 is an apocalyptic number.

806203440 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 806203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628764800).

806203440 is an abundant number, since it is smaller than the sum of its proper divisors (2451326160).

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

806203440 is a wasteful number, since it uses less digits than its factorization.

806203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8464 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 806203440 is about 28393.7218412803. The cubic root of 806203440 is about 930.7110760147.

The spelling of 806203440 in words is "eight hundred six million, two hundred three thousand, four hundred forty".