80400320 has 224 divisors, whose sum is σ = 258080256. Its totient is φ = 23040000.

The previous prime is 80400319. The next prime is 80400367. The reversal of 80400320 is 2300408.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×80400320² = 12928422912204800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 320195 + ... + 320445.

It is an arithmetic number, because the mean of its divisors is an integer number (1152144).

Almost surely, 2^80400320 is an apocalyptic number.

80400320 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 80400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129040128).

80400320 is an abundant number, since it is smaller than the sum of its proper divisors (177679936).

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

80400320 is a wasteful number, since it uses less digits than its factorization.

80400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 80400320 is about 8966.6225525557. The cubic root of 80400320 is about 431.6044619166.

Adding to 80400320 its reverse (2300408), we get a palindrome (82700728).

The spelling of 80400320 in words is "eighty million, four hundred thousand, three hundred twenty".