800804880 has 100 divisors (see below), whose sum is σ = 2781336492. Its totient is φ = 213546240.

The previous prime is 800804831. The next prime is 800804887. The reversal of 800804880 is 88408008.

It can be written as a sum of positive squares in 2 ways, for example, as 345067776 + 455737104 = 18576^2 + 21348^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (800804887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55311 + ... + 68270.

Almost surely, 2^800804880 is an apocalyptic number.

800804880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800804880 is an abundant number, since it is smaller than the sum of its proper divisors (1980531612).

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

800804880 is a wasteful number, since it uses less digits than its factorization.

800804880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123606 (or 123591 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 800804880 is about 28298.4960731131. The cubic root of 800804880 is about 928.6289892073.

The spelling of 800804880 in words is "eight hundred million, eight hundred four thousand, eight hundred eighty".