82445200 has 60 divisors (see below), whose sum is σ = 200933568. Its totient is φ = 32502400.

The previous prime is 82445177. The next prime is 82445227. The reversal of 82445200 is 254428.

It is a happy number.

It is a super-2 number, since 2×82445200² = 13594422006080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26949 + ... + 29851.

Almost surely, 2^82445200 is an apocalyptic number.

82445200 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 82445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100466784).

82445200 is an abundant number, since it is smaller than the sum of its proper divisors (118488368).

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

82445200 is a wasteful number, since it uses less digits than its factorization.

82445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 82445200 is about 9079.9339204644. The cubic root of 82445200 is about 435.2329751272.

Adding to 82445200 its reverse (254428), we get a palindrome (82699628).

The spelling of 82445200 in words is "eighty-two million, four hundred forty-five thousand, two hundred".