83280400 has 120 divisors (see below), whose sum is σ = 233715200. Its totient is φ = 28506240.

The previous prime is 83280383. The next prime is 83280403. The reversal of 83280400 is 408238.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83280403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136897 + ... + 137503.

Almost surely, 2^83280400 is an apocalyptic number.

83280400 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 83280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116857600).

83280400 is an abundant number, since it is smaller than the sum of its proper divisors (150434800).

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

83280400 is a wasteful number, since it uses less digits than its factorization.

83280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 83280400 is about 9125.8095531301. The cubic root of 83280400 is about 436.6977297276.

Adding to 83280400 its reverse (408238), we get a palindrome (83688638).

The spelling of 83280400 in words is "eighty-three million, two hundred eighty thousand, four hundred".