83200000 has 144 divisors (see below), whose sum is σ = 223930980. Its totient is φ = 30720000.

The previous prime is 83199973. The next prime is 83200009. The reversal of 83200000 is 238.

It can be written as a sum of positive squares in 6 ways, for example, as 22733824 + 60466176 = 4768^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (83200009) 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, 6399994 + ... + 6400006.

Almost surely, 2^83200000 is an apocalyptic number.

83200000 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 83200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111965490).

83200000 is an abundant number, since it is smaller than the sum of its proper divisors (140730980).

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

83200000 is an frugal number, since it uses more digits than its factorization.

83200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 83200000 is about 9121.4034007931. The cubic root of 83200000 is about 436.5571532244.

Adding to 83200000 its reverse (238), we get a palindrome (83200238).

The spelling of 83200000 in words is "eighty-three million, two hundred thousand".