800903538 has 80 divisors (see below), whose sum is σ = 1872034560. Its totient is φ = 255636000.

The previous prime is 800903533. The next prime is 800903563. The reversal of 800903538 is 835309008.

It is not an unprimeable number, because it can be changed into a prime (800903533) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 506433 + ... + 508011.

It is an arithmetic number, because the mean of its divisors is an integer number (23400432).

Almost surely, 2^800903538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800903538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936017280).

800903538 is an abundant number, since it is smaller than the sum of its proper divisors (1071131022).

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

800903538 is a wasteful number, since it uses less digits than its factorization.

800903538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 800903538 is about 28300.2391862684. The cubic root of 800903538 is about 928.6671228896.

The spelling of 800903538 in words is "eight hundred million, nine hundred three thousand, five hundred thirty-eight".