83260800 has 432 divisors, whose sum is σ = 351456300. Its totient is φ = 18708480.

The previous prime is 83260799. The next prime is 83260813. The reversal of 83260800 is 806238.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 1411171 + ... + 1411229.

Almost surely, 2^83260800 is an apocalyptic number.

83260800 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 83260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175728150).

83260800 is an abundant number, since it is smaller than the sum of its proper divisors (268195500).

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

83260800 is a wasteful number, since it uses less digits than its factorization.

83260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83260800 is about 9124.7356126082. The cubic root of 83260800 is about 436.6634681764.

The spelling of 83260800 in words is "eighty-three million, two hundred sixty thousand, eight hundred".