80116400 has 240 divisors, whose sum is σ = 247984128. Its totient is φ = 24192000.

The previous prime is 80116397. The next prime is 80116411. The reversal of 80116400 is 461108.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 1128365 + ... + 1128435.

Almost surely, 2^80116400 is an apocalyptic number.

80116400 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 80116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992064).

80116400 is an abundant number, since it is smaller than the sum of its proper divisors (167867728).

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

80116400 is a wasteful number, since it uses less digits than its factorization.

80116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 80116400 is about 8950.7765026281. The cubic root of 80116400 is about 431.0958168978.

Adding to 80116400 its reverse (461108), we get a palindrome (80577508).

The spelling of 80116400 in words is "eighty million, one hundred sixteen thousand, four hundred".