803225808 has 240 divisors, whose sum is σ = 2907480576. Its totient is φ = 208552320.

The previous prime is 803225743. The next prime is 803225837. The reversal of 803225808 is 808522308.

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

It is a congruent number.

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, 298035 + ... + 300717.

Almost surely, 2^803225808 is an apocalyptic number.

803225808 is a gapful number since it is divisible by the number (88) 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 803225808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453740288).

803225808 is an abundant number, since it is smaller than the sum of its proper divisors (2104254768).

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

803225808 is a wasteful number, since it uses less digits than its factorization.

803225808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 803225808 is about 28341.2386461848. The cubic root of 803225808 is about 929.5638329320.

The spelling of 803225808 in words is "eight hundred three million, two hundred twenty-five thousand, eight hundred eight".