800080002 has 54 divisors (see below), whose sum is σ = 1779129417. Its totient is φ = 259852992.

The previous prime is 800079979. The next prime is 800080009. The reversal of 800080002 is 200080008.

It can be written as a sum of positive squares in 2 ways, for example, as 505305441 + 294774561 = 22479^2 + 17169^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (800080009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7080298 + ... + 7080410.

Almost surely, 2^800080002 is an apocalyptic number.

800080002 is an abundant number, since it is smaller than the sum of its proper divisors (979049415).

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

800080002 is a wasteful number, since it uses less digits than its factorization.

800080002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 800080002 is about 28285.6854610243. The cubic root of 800080002 is about 928.3487103903.

Multiplying 800080002 by its sum of digits (18), we get a square (14401440036 = 120006²).

800080002 divided by its sum of digits (18) gives a square (44448889 = 6667²).

Multiplying 800080002 by its product of nonzero digits (128), we get a square (102410240256 = 320016²).

The spelling of 800080002 in words is "eight hundred million, eighty thousand, two".