803838816 has 240 divisors, whose sum is σ = 2611456848. Its totient is φ = 242542080.

The previous prime is 803838781. The next prime is 803838859. The reversal of 803838816 is 618838308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3449836 + ... + 3450068.

Almost surely, 2^803838816 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 803838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305728424).

803838816 is an abundant number, since it is smaller than the sum of its proper divisors (1807618032).

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

803838816 is a wasteful number, since it uses less digits than its factorization.

803838816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 803838816 is about 28352.0513543553. The cubic root of 803838816 is about 929.8002484623.

The spelling of 803838816 in words is "eight hundred three million, eight hundred thirty-eight thousand, eight hundred sixteen".