803262240 has 576 divisors, whose sum is σ = 3354099840. Its totient is φ = 172523520.

The previous prime is 803262217. The next prime is 803262241. The reversal of 803262240 is 42262308.

803262240 is a `hidden beast` number, since 8 + 0 + 32 + 622 + 4 + 0 = 666.

803262240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803262241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5116242 + ... + 5116398.

It is an arithmetic number, because the mean of its divisors is an integer number (5823090).

Almost surely, 2^803262240 is an apocalyptic number.

803262240 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 803262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677049920).

803262240 is an abundant number, since it is smaller than the sum of its proper divisors (2550837600).

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

803262240 is a wasteful number, since it uses less digits than its factorization.

803262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

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

The square root of 803262240 is about 28341.8813772128. The cubic root of 803262240 is about 929.5778868287.

The spelling of 803262240 in words is "eight hundred three million, two hundred sixty-two thousand, two hundred forty".