82824400 has 30 divisors (see below), whose sum is σ = 198986582. Its totient is φ = 33129600.

The previous prime is 82824383. The next prime is 82824409. The reversal of 82824400 is 442828.

It can be written as a sum of positive squares in 3 ways, for example, as 28772496 + 54051904 = 5364^2 + 7352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82824409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103131 + ... + 103930.

Almost surely, 2^82824400 is an apocalyptic number.

82824400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82824400 is an abundant number, since it is smaller than the sum of its proper divisors (116162182).

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

82824400 is a wasteful number, since it uses less digits than its factorization.

82824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207079 (or 207068 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 82824400 is about 9100.7911743980. The cubic root of 82824400 is about 435.8992276151.

The spelling of 82824400 in words is "eighty-two million, eight hundred twenty-four thousand, four hundred".