80208144 has 100 divisors (see below), whose sum is σ = 234062400. Its totient is φ = 26516160.

The previous prime is 80208131. The next prime is 80208169. The reversal of 80208144 is 44180208.

80208144 = 64³ + 65³ + ... + 135³.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 257749 + ... + 258059.

It is an arithmetic number, because the mean of its divisors is an integer number (2340624).

Almost surely, 2^80208144 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 80208144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117031200).

80208144 is an abundant number, since it is smaller than the sum of its proper divisors (153854256).

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

80208144 is a wasteful number, since it uses less digits than its factorization.

80208144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80208144 is about 8955.8999547784. The cubic root of 80208144 is about 431.2603082602.

The spelling of 80208144 in words is "eighty million, two hundred eight thousand, one hundred forty-four".