80410400 has 144 divisors (see below), whose sum is σ = 228360384. Its totient is φ = 27079680.

The previous prime is 80410367. The next prime is 80410403. The reversal of 80410400 is 401408.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80410403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 464714 + ... + 464886.

It is an arithmetic number, because the mean of its divisors is an integer number (1585836).

Almost surely, 2^80410400 is an apocalyptic number.

80410400 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 80410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114180192).

80410400 is an abundant number, since it is smaller than the sum of its proper divisors (147949984).

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

80410400 is a wasteful number, since it uses less digits than its factorization.

80410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 80410400 is about 8967.1846194890. The cubic root of 80410400 is about 431.6224982925.

Adding to 80410400 its reverse (401408), we get a palindrome (80811808).

The spelling of 80410400 in words is "eighty million, four hundred ten thousand, four hundred".