82464084800 has 42 divisors (see below), whose sum is σ = 202913192598. Its totient is φ = 32985633280.

The previous prime is 82464084797. The next prime is 82464084803. The reversal of 82464084800 is 848046428.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82464084797) and next prime (82464084803).

It can be written as a sum of positive squares in 3 ways, for example, as 17504348416 + 64959736384 = 132304^2 + 254872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82464084803) 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, 25768427 + ... + 25771626.

Almost surely, 2^82464084800 is an apocalyptic number.

82464084800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82464084800 is an abundant number, since it is smaller than the sum of its proper divisors (120449107798).

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

82464084800 is a wasteful number, since it uses less digits than its factorization.

82464084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51540075 (or 51540060 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 82464084800 in words is "eighty-two billion, four hundred sixty-four million, eighty-four thousand, eight hundred".