80668200 has 96 divisors (see below), whose sum is σ = 258197760. Its totient is φ = 20812800.

The previous prime is 80668193. The next prime is 80668219. The reversal of 80668200 is 286608.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16432 + ... + 20768.

It is an arithmetic number, because the mean of its divisors is an integer number (2689560).

Almost surely, 2^80668200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129098880).

80668200 is an abundant number, since it is smaller than the sum of its proper divisors (177529560).

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

80668200 is a wasteful number, since it uses less digits than its factorization.

80668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 80668200 is about 8981.5477508055. The cubic root of 80668200 is about 432.0832744130.

It can be divided in two parts, 806 and 68200, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 80668200 in words is "eighty million, six hundred sixty-eight thousand, two hundred".