82884832800 has 864 divisors, whose sum is σ = 362603666880. Its totient is φ = 16205414400.

The previous prime is 82884832759. The next prime is 82884832801. The reversal of 82884832800 is 823848828.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (82884832801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21989316 + ... + 21993084.

It is an arithmetic number, because the mean of its divisors is an integer number (419680170).

Almost surely, 2^82884832800 is an apocalyptic number.

82884832800 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 82884832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181301833440).

82884832800 is an abundant number, since it is smaller than the sum of its proper divisors (279718834080).

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

82884832800 is a wasteful number, since it uses less digits than its factorization.

82884832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 82884832800 in words is "eighty-two billion, eight hundred eighty-four million, eight hundred thirty-two thousand, eight hundred".