82947387600 has 720 divisors, whose sum is σ = 361990771584. Its totient is φ = 17228851200.

The previous prime is 82947387599. The next prime is 82947387631. The reversal of 82947387600 is 678374928.

82947387600 is a `hidden beast` number, since 8 + 29 + 4 + 7 + 3 + 8 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 33539964 + ... + 33542436.

Almost surely, 2^82947387600 is an apocalyptic number.

82947387600 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 82947387600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180995385792).

82947387600 is an abundant number, since it is smaller than the sum of its proper divisors (279043383984).

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

82947387600 is a wasteful number, since it uses less digits than its factorization.

82947387600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 82947387600 in words is "eighty-two billion, nine hundred forty-seven million, three hundred eighty-seven thousand, six hundred".