83782700 has 36 divisors (see below), whose sum is σ = 183061200. Its totient is φ = 33282240.

The previous prime is 83782691. The next prime is 83782703. The reversal of 83782700 is 728738.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83782703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12089 + ... + 17711.

Almost surely, 2^83782700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83782700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91530600).

83782700 is an abundant number, since it is smaller than the sum of its proper divisors (99278500).

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

83782700 is a wasteful number, since it uses less digits than its factorization.

83782700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 83782700 is about 9153.2890263555. The cubic root of 83782700 is about 437.5739412441.

The spelling of 83782700 in words is "eighty-three million, seven hundred eighty-two thousand, seven hundred".