800521920 has 224 divisors, whose sum is σ = 3081162240. Its totient is φ = 194042880.

The previous prime is 800521901. The next prime is 800521987. The reversal of 800521920 is 29125008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90829 + ... + 99251.

Almost surely, 2^800521920 is an apocalyptic number.

800521920 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 800521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540581120).

800521920 is an abundant number, since it is smaller than the sum of its proper divisors (2280640320).

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

800521920 is a wasteful number, since it uses less digits than its factorization.

800521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 800521920 is about 28293.4960724192. The cubic root of 800521920 is about 928.5196010070.

Adding to 800521920 its reverse (29125008), we get a palindrome (829646928).

The spelling of 800521920 in words is "eight hundred million, five hundred twenty-one thousand, nine hundred twenty".