84032789760 has 432 divisors, whose sum is σ = 316194789456. Its totient is φ = 20518797312.

The previous prime is 84032789707. The next prime is 84032789779. The reversal of 84032789760 is 6798723048.

It can be written as a sum of positive squares in 8 ways, for example, as 20722178304 + 63310611456 = 143952^2 + 251616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84032789697 and 84032789706.

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, 7240282 + ... + 7251878.

It is an arithmetic number, because the mean of its divisors is an integer number (731932383).

Almost surely, 2^84032789760 is an apocalyptic number.

84032789760 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 84032789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158097394728).

84032789760 is an abundant number, since it is smaller than the sum of its proper divisors (232161999696).

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

84032789760 is a wasteful number, since it uses less digits than its factorization.

84032789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11678 (or 11661 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 84032789760 in words is "eighty-four billion, thirty-two million, seven hundred eighty-nine thousand, seven hundred sixty".