83080800 has 216 divisors, whose sum is σ = 319901400. Its totient is φ = 20121600.

The previous prime is 83080771. The next prime is 83080817. The reversal of 83080800 is 808038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78676 + ... + 79724.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^83080800 is an apocalyptic number.

83080800 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 83080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159950700).

83080800 is an abundant number, since it is smaller than the sum of its proper divisors (236820600).

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

83080800 is a wasteful number, since it uses less digits than its factorization.

83080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83080800 is about 9114.8669765389. The cubic root of 83080800 is about 436.3485695555.

Adding to 83080800 its reverse (808038), we get a palindrome (83888838).

The spelling of 83080800 in words is "eighty-three million, eighty thousand, eight hundred".