80414400 has 168 divisors, whose sum is σ = 287999424. Its totient is φ = 19481600.

The previous prime is 80414393. The next prime is 80414443. The reversal of 80414400 is 441408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52039 + ... + 53561.

Almost surely, 2^80414400 is an apocalyptic number.

80414400 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 80414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143999712).

80414400 is an abundant number, since it is smaller than the sum of its proper divisors (207585024).

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

80414400 is a wasteful number, since it uses less digits than its factorization.

80414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 80414400 is about 8967.4076521590. The cubic root of 80414400 is about 431.6296551668.

Adding to 80414400 its reverse (441408), we get a palindrome (80855808).

The spelling of 80414400 in words is "eighty million, four hundred fourteen thousand, four hundred".