83116800 has 432 divisors, whose sum is σ = 337096480. Its totient is φ = 19906560.

The previous prime is 83116771. The next prime is 83116823. The reversal of 83116800 is 861138.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×83116800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2246382 + ... + 2246418.

Almost surely, 2^83116800 is an apocalyptic number.

83116800 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 83116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168548240).

83116800 is an abundant number, since it is smaller than the sum of its proper divisors (253979680).

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

83116800 is a wasteful number, since it uses less digits than its factorization.

83116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 83116800 is about 9116.8415583468. The cubic root of 83116800 is about 436.4115856401.

Adding to 83116800 its reverse (861138), we get a palindrome (83977938).

The spelling of 83116800 in words is "eighty-three million, one hundred sixteen thousand, eight hundred".