82362784000 has 576 divisors, whose sum is σ = 251009740800. Its totient is φ = 26320896000.

The previous prime is 82362783991. The next prime is 82362784019. The reversal of 82362784000 is 48726328.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201375796 + ... + 201376204.

It is an arithmetic number, because the mean of its divisors is an integer number (435780800).

Almost surely, 2^82362784000 is an apocalyptic number.

82362784000 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 82362784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125504870400).

82362784000 is an abundant number, since it is smaller than the sum of its proper divisors (168646956800).

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

82362784000 is a wasteful number, since it uses less digits than its factorization.

82362784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 82362784000 in words is "eighty-two billion, three hundred sixty-two million, seven hundred eighty-four thousand".