80444800 has 96 divisors (see below), whose sum is σ = 207553680. Its totient is φ = 30750720.

The previous prime is 80444761. The next prime is 80444821. The reversal of 80444800 is 844408.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 73054 + ... + 74146.

Almost surely, 2^80444800 is an apocalyptic number.

80444800 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 80444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103776840).

80444800 is an abundant number, since it is smaller than the sum of its proper divisors (127108880).

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

80444800 is a wasteful number, since it uses less digits than its factorization.

80444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 80444800 is about 8969.1025192045. The cubic root of 80444800 is about 431.6840396566.

The spelling of 80444800 in words is "eighty million, four hundred forty-four thousand, eight hundred".