83792808 has 96 divisors (see below), whose sum is σ = 249163200. Its totient is φ = 25228800.

The previous prime is 83792801. The next prime is 83792867. The reversal of 83792808 is 80829738.

It is not an unprimeable number, because it can be changed into a prime (83792801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190653 + ... + 191091.

It is an arithmetic number, because the mean of its divisors is an integer number (2595450).

Almost surely, 2^83792808 is an apocalyptic number.

83792808 is a gapful number since it is divisible by the number (88) 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 83792808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124581600).

83792808 is an abundant number, since it is smaller than the sum of its proper divisors (165370392).

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

83792808 is a wasteful number, since it uses less digits than its factorization.

83792808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 83792808 is about 9153.8411609553. The cubic root of 83792808 is about 437.5915376355.

The spelling of 83792808 in words is "eighty-three million, seven hundred ninety-two thousand, eight hundred eight".