80089600 has 60 divisors (see below), whose sum is σ = 198459954. Its totient is φ = 32030720.

The previous prime is 80089591. The next prime is 80089613. The reversal of 80089600 is 698008.

It can be written as a sum of positive squares in 3 ways, for example, as 77158656 + 2930944 = 8784^2 + 1712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9672 + ... + 15928.

Almost surely, 2^80089600 is an apocalyptic number.

80089600 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 80089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99229977).

80089600 is an abundant number, since it is smaller than the sum of its proper divisors (118370354).

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

80089600 is an equidigital number, since it uses as much as digits as its factorization.

80089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6285 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 80089600 is about 8949.2793005918. The cubic root of 80089600 is about 431.0477424445.

The spelling of 80089600 in words is "eighty million, eighty-nine thousand, six hundred".