800122788 has 36 divisors (see below), whose sum is σ = 2023445788. Its totient is φ = 266587200.

The previous prime is 800122769. The next prime is 800122793. The reversal of 800122788 is 887221008.

It can be written as a sum of positive squares in 2 ways, for example, as 555450624 + 244672164 = 23568^2 + 15642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 115470 + ... + 122202.

Almost surely, 2^800122788 is an apocalyptic number.

It is an amenable number.

800122788 is an abundant number, since it is smaller than the sum of its proper divisors (1223323000).

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

800122788 is a wasteful number, since it uses less digits than its factorization.

800122788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10039 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 800122788 is about 28286.4417698656. The cubic root of 800122788 is about 928.3652585770.

The spelling of 800122788 in words is "eight hundred million, one hundred twenty-two thousand, seven hundred eighty-eight".