83940800 has 84 divisors (see below), whose sum is σ = 215621616. Its totient is φ = 32102400.

The previous prime is 83940763. The next prime is 83940809. The reversal of 83940800 is 804938.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83940809) 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, 35660 + ... + 37940.

It is an arithmetic number, because the mean of its divisors is an integer number (2566924).

Almost surely, 2^83940800 is an apocalyptic number.

83940800 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 83940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107810808).

83940800 is an abundant number, since it is smaller than the sum of its proper divisors (131680816).

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

83940800 is a wasteful number, since it uses less digits than its factorization.

83940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 83940800 is about 9161.9211959065. The cubic root of 83940800 is about 437.8490058681.

The spelling of 83940800 in words is "eighty-three million, nine hundred forty thousand, eight hundred".