82702609920 has 480 divisors, whose sum is σ = 331534494720. Its totient is φ = 18661294080.

The previous prime is 82702609883. The next prime is 82702609939. The reversal of 82702609920 is 2990620728.

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 (45).

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, 12737875 + ... + 12744365.

It is an arithmetic number, because the mean of its divisors is an integer number (690696864).

Almost surely, 2^82702609920 is an apocalyptic number.

82702609920 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 82702609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165767247360).

82702609920 is an abundant number, since it is smaller than the sum of its proper divisors (248831884800).

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

82702609920 is a wasteful number, since it uses less digits than its factorization.

82702609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 82702609920 in words is "eighty-two billion, seven hundred two million, six hundred nine thousand, nine hundred twenty".