82118400 has 432 divisors, whose sum is σ = 340644864. Its totient is φ = 16957440.

The previous prime is 82118389. The next prime is 82118417. The reversal of 82118400 is 481128.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747177 + ... + 1747223.

Almost surely, 2^82118400 is an apocalyptic number.

82118400 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 82118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170322432).

82118400 is an abundant number, since it is smaller than the sum of its proper divisors (258526464).

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

82118400 is a wasteful number, since it uses less digits than its factorization.

82118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 82118400 is about 9061.9203262885. The cubic root of 82118400 is about 434.6571482645.

Adding to 82118400 its reverse (481128), we get a palindrome (82599528).

The spelling of 82118400 in words is "eighty-two million, one hundred eighteen thousand, four hundred".