80802000 has 180 divisors, whose sum is σ = 286489476. Its totient is φ = 21225600.

The previous prime is 80801989. The next prime is 80802017. The reversal of 80802000 is 20808.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 78216336 = 1608^2 + 8844^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1205967 + ... + 1206033.

Almost surely, 2^80802000 is an apocalyptic number.

80802000 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 80802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143244738).

80802000 is an abundant number, since it is smaller than the sum of its proper divisors (205687476).

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

80802000 is a wasteful number, since it uses less digits than its factorization.

80802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 77 counting only the distinct ones).

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

The square root of 80802000 is about 8988.9932695492. The cubic root of 80802000 is about 432.3220335436.

Adding to 80802000 its reverse (20808), we get a palindrome (80822808).

The spelling of 80802000 in words is "eighty million, eight hundred two thousand".