82493030400 has 720 divisors, whose sum is σ = 315947278080. Its totient is φ = 18769510400.

The previous prime is 82493030329. The next prime is 82493030429. The reversal of 82493030400 is 403039428.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229785421 + ... + 229785779.

It is an arithmetic number, because the mean of its divisors is an integer number (438815664).

Almost surely, 2^82493030400 is an apocalyptic number.

82493030400 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 82493030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157973639040).

82493030400 is an abundant number, since it is smaller than the sum of its proper divisors (233454247680).

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

82493030400 is a wasteful number, since it uses less digits than its factorization.

82493030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 82493030400 its reverse (403039428), we get a palindrome (82896069828).

The spelling of 82493030400 in words is "eighty-two billion, four hundred ninety-three million, thirty thousand, four hundred".