800389520 has 120 divisors (see below), whose sum is σ = 2195165304. Its totient is φ = 270563328.

The previous prime is 800389493. The next prime is 800389523. The reversal of 800389520 is 25983008.

It can be written as a sum of positive squares in 4 ways, for example, as 170981776 + 629407744 = 13076^2 + 25088^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (800389523) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 284762 + ... + 287558.

Almost surely, 2^800389520 is an apocalyptic number.

800389520 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 800389520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097582652).

800389520 is an abundant number, since it is smaller than the sum of its proper divisors (1394775784).

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

800389520 is a wasteful number, since it uses less digits than its factorization.

800389520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 800389520 is about 28291.1562153264. The cubic root of 800389520 is about 928.4684082496.

The spelling of 800389520 in words is "eight hundred million, three hundred eighty-nine thousand, five hundred twenty".