84308782827360 has 2304 divisors, whose sum is σ = 349717848883200. Its totient is φ = 17001140502528.

The previous prime is 84308782827341. The next prime is 84308782827371. The reversal of 84308782827360 is 6372828780348.

It is a junction number, because it is equal to n+sod(n) for n = 84308782827291 and 84308782827300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 190313279299 + ... + 190313279741.

It is an arithmetic number, because the mean of its divisors is an integer number (151787260800).

Almost surely, 2^{84308782827360} is an apocalyptic number.

84308782827360 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 84308782827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174858924441600).

84308782827360 is an abundant number, since it is smaller than the sum of its proper divisors (265409066055840).

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

84308782827360 is a wasteful number, since it uses less digits than its factorization.

84308782827360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 66.

The spelling of 84308782827360 in words is "eighty-four trillion, three hundred eight billion, seven hundred eighty-two million, eight hundred twenty-seven thousand, three hundred sixty".