80782100352 has 192 divisors, whose sum is σ = 246518251200. Its totient is φ = 25303744512.

The previous prime is 80782100341. The next prime is 80782100363. The reversal of 80782100352 is 25300128708.

It is an interprime number because it is at equal distance from previous prime (80782100341) and next prime (80782100363).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 14078028 + ... + 14083764.

It is an arithmetic number, because the mean of its divisors is an integer number (1283949225).

Almost surely, 2^80782100352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80782100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123259125600).

80782100352 is an abundant number, since it is smaller than the sum of its proper divisors (165736150848).

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

80782100352 is a wasteful number, since it uses less digits than its factorization.

80782100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 80782100352 in words is "eighty billion, seven hundred eighty-two million, one hundred thousand, three hundred fifty-two".