83795200 has 54 divisors (see below), whose sum is σ = 207422054. Its totient is φ = 33515520.

The previous prime is 83795197. The next prime is 83795207. The reversal of 83795200 is 259738.

It can be written as a sum of positive squares in 3 ways, for example, as 18249984 + 65545216 = 4272^2 + 8096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83795207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 147 + ... + 12946.

Almost surely, 2^83795200 is an apocalyptic number.

83795200 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 83795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103711027).

83795200 is an abundant number, since it is smaller than the sum of its proper divisors (123626854).

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

83795200 is a wasteful number, since it uses less digits than its factorization.

83795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13119 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 83795200 is about 9153.9718155563. The cubic root of 83795200 is about 437.5957015131.

The spelling of 83795200 in words is "eighty-three million, seven hundred ninety-five thousand, two hundred".