82940457600 has 2304 divisors, whose sum is σ = 417854505600. Its totient is φ = 15792537600.

The previous prime is 82940457539. The next prime is 82940457601. The reversal of 82940457600 is 675404928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82940457601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 605404732 + ... + 605404868.

Almost surely, 2^82940457600 is an apocalyptic number.

82940457600 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 82940457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208927252800).

82940457600 is an abundant number, since it is smaller than the sum of its proper divisors (334914048000).

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

82940457600 is a wasteful number, since it uses less digits than its factorization.

82940457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 82940457600 in words is "eighty-two billion, nine hundred forty million, four hundred fifty-seven thousand, six hundred".