83799738 has 64 divisors (see below), whose sum is σ = 206115840. Its totient is φ = 25023600.

The previous prime is 83799719. The next prime is 83799739.

83799738 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83799739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41181 + ... + 43167.

It is an arithmetic number, because the mean of its divisors is an integer number (3220560).

Almost surely, 2^83799738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83799738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103057920).

83799738 is an abundant number, since it is smaller than the sum of its proper divisors (122316102).

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

83799738 is a wasteful number, since it uses less digits than its factorization.

83799738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2074 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 83799738 is about 9154.2196827474. The cubic root of 83799738 is about 437.6036008257.

The spelling of 83799738 in words is "eighty-three million, seven hundred ninety-nine thousand, seven hundred thirty-eight".