82802940000 has 480 divisors, whose sum is σ = 299280199680. Its totient is φ = 19872000000.

The previous prime is 82802939971. The next prime is 82802940001. The reversal of 82802940000 is 4920828.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82802940001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71939425 + ... + 71940575.

It is an arithmetic number, because the mean of its divisors is an integer number (623500416).

Almost surely, 2^82802940000 is an apocalyptic number.

82802940000 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 82802940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149640099840).

82802940000 is an abundant number, since it is smaller than the sum of its proper divisors (216477259680).

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

82802940000 is a wasteful number, since it uses less digits than its factorization.

82802940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 82802940000 in words is "eighty-two billion, eight hundred two million, nine hundred forty thousand".