80414100 has 288 divisors, whose sum is σ = 291648000. Its totient is φ = 18869760.

The previous prime is 80414027. The next prime is 80414119. The reversal of 80414100 is 141408.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1017861 + ... + 1017939.

Almost surely, 2^80414100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824000).

80414100 is an abundant number, since it is smaller than the sum of its proper divisors (211233900).

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

80414100 is a wasteful number, since it uses less digits than its factorization.

80414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80414100 is about 8967.3909249012. The cubic root of 80414100 is about 431.6291184094.

Adding to 80414100 its reverse (141408), we get a palindrome (80555508).

The spelling of 80414100 in words is "eighty million, four hundred fourteen thousand, one hundred".