82294400 has 48 divisors (see below), whose sum is σ = 203300790. Its totient is φ = 32916480.

The previous prime is 82294369. The next prime is 82294403. The reversal of 82294400 is 449228.

It can be written as a sum of positive squares in 3 ways, for example, as 64384576 + 17909824 = 8024^2 + 4232^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82294403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9659 + ... + 16058.

Almost surely, 2^82294400 is an apocalyptic number.

82294400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82294400 is an abundant number, since it is smaller than the sum of its proper divisors (121006390).

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

82294400 is a wasteful number, since it uses less digits than its factorization.

82294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25741 (or 25724 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 82294400 is about 9071.6260945875. The cubic root of 82294400 is about 434.9674525346.

The spelling of 82294400 in words is "eighty-two million, two hundred ninety-four thousand, four hundred".