82240000 has 100 divisors (see below), whose sum is σ = 206132454. Its totient is φ = 32768000.

The previous prime is 82239991. The next prime is 82240001. The reversal of 82240000 is 4228.

It can be written as a sum of positive squares in 5 ways, for example, as 14868736 + 67371264 = 3856^2 + 8208^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82240001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319872 + ... + 320128.

Almost surely, 2^82240000 is an apocalyptic number.

82240000 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 82240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103066227).

82240000 is an abundant number, since it is smaller than the sum of its proper divisors (123892454).

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

82240000 is an frugal number, since it uses more digits than its factorization.

82240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 82240000 is about 9068.6272390037. The cubic root of 82240000 is about 434.8715875862.

Adding to 82240000 its reverse (4228), we get a palindrome (82244228).

The spelling of 82240000 in words is "eighty-two million, two hundred forty thousand".