80416400 has 60 divisors (see below), whose sum is σ = 194844672. Its totient is φ = 31893120.

The previous prime is 80416381. The next prime is 80416403. The reversal of 80416400 is 461408.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80416403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 50009 + ... + 51591.

Almost surely, 2^80416400 is an apocalyptic number.

80416400 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 80416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97422336).

80416400 is an abundant number, since it is smaller than the sum of its proper divisors (114428272).

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

80416400 is a wasteful number, since it uses less digits than its factorization.

80416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 80416400 is about 8967.5191664139. The cubic root of 80416400 is about 431.6332335149.

Adding to 80416400 its reverse (461408), we get a palindrome (80877808).

It can be divided in two parts, 8041 and 6400, that added together give a palindrome (14441).

The spelling of 80416400 in words is "eighty million, four hundred sixteen thousand, four hundred".