800820880 has 40 divisors (see below), whose sum is σ = 1880004672. Its totient is φ = 317215104.

The previous prime is 800820869. The next prime is 800820893. The reversal of 800820880 is 88028008.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 40354 + ... + 56833.

Almost surely, 2^800820880 is an apocalyptic number.

800820880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800820880 is an abundant number, since it is smaller than the sum of its proper divisors (1079183792).

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

800820880 is a wasteful number, since it uses less digits than its factorization.

800820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97303 (or 97297 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 800820880 is about 28298.7787722368. The cubic root of 800820880 is about 928.6351738036.

Adding to 800820880 its reverse (88028008), we get a palindrome (888848888).

The spelling of 800820880 in words is "eight hundred million, eight hundred twenty thousand, eight hundred eighty".