80444000 has 288 divisors, whose sum is σ = 258987456. Its totient is φ = 23961600.

The previous prime is 80443997. The next prime is 80444047. The reversal of 80444000 is 44408.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4731992 + ... + 4732008.

It is an arithmetic number, because the mean of its divisors is an integer number (899262).

Almost surely, 2^80444000 is an apocalyptic number.

80444000 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 80444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129493728).

80444000 is an abundant number, since it is smaller than the sum of its proper divisors (178543456).

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

80444000 is a wasteful number, since it uses less digits than its factorization.

80444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 80444000 is about 8969.0579215434. The cubic root of 80444000 is about 431.6826086614.

Adding to 80444000 its reverse (44408), we get a palindrome (80488408).

The spelling of 80444000 in words is "eighty million, four hundred forty-four thousand".