7983800 has 96 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 2736000.

The previous prime is 7983797. The next prime is 7983803. The reversal of 7983800 is 83897.

It is an interprime number because it is at equal distance from previous prime (7983797) and next prime (7983803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7983803) 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 23 ways as a sum of consecutive naturals, for example, 41705 + ... + 41895.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 2^7983800 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 7983800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

7983800 is an abundant number, since it is smaller than the sum of its proper divisors (13443400).

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

7983800 is a wasteful number, since it uses less digits than its factorization.

7983800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 7983800 is about 2825.5618910227. The cubic root of 7983800 is about 199.8649087723.

The spelling of 7983800 in words is "seven million, nine hundred eighty-three thousand, eight hundred".