83755600 has 120 divisors (see below), whose sum is σ = 216916920. Its totient is φ = 30965760.

The previous prime is 83755577. The next prime is 83755643. The reversal of 83755600 is 655738.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 27625536 + 56130064 = 5256^2 + 7492^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741144 + ... + 741256.

It is an arithmetic number, because the mean of its divisors is an integer number (1807641).

Almost surely, 2^83755600 is an apocalyptic number.

83755600 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 83755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108458460).

83755600 is an abundant number, since it is smaller than the sum of its proper divisors (133161320).

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

83755600 is a wasteful number, since it uses less digits than its factorization.

83755600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 83755600 is about 9151.8085644314. The cubic root of 83755600 is about 437.5267575471.

The spelling of 83755600 in words is "eighty-three million, seven hundred fifty-five thousand, six hundred".