803353320 has 384 divisors, whose sum is σ = 3308048640. Its totient is φ = 164229120.

The previous prime is 803353289. The next prime is 803353337. The reversal of 803353320 is 23353308.

It is a happy number.

803353320 is a `hidden beast` number, since 8 + 0 + 335 + 3 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2023362 + ... + 2023758.

It is an arithmetic number, because the mean of its divisors is an integer number (8614710).

Almost surely, 2^803353320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803353320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654024320).

803353320 is an abundant number, since it is smaller than the sum of its proper divisors (2504695320).

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

803353320 is a wasteful number, since it uses less digits than its factorization.

803353320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 803353320 is about 28343.4881410175. The cubic root of 803353320 is about 929.6130197113.

The spelling of 803353320 in words is "eight hundred three million, three hundred fifty-three thousand, three hundred twenty".