82332482400 has 864 divisors, whose sum is σ = 364431674880. Its totient is φ = 17706885120.

The previous prime is 82332482387. The next prime is 82332482429. The reversal of 82332482400 is 428423328.

It is a happy number.

82332482400 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 248 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23131821 + ... + 23135379.

It is an arithmetic number, because the mean of its divisors is an integer number (421795920).

Almost surely, 2^82332482400 is an apocalyptic number.

82332482400 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 82332482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182215837440).

82332482400 is an abundant number, since it is smaller than the sum of its proper divisors (282099192480).

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

82332482400 is a wasteful number, since it uses less digits than its factorization.

82332482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 82332482400 in words is "eighty-two billion, three hundred thirty-two million, four hundred eighty-two thousand, four hundred".