840784828416 has 192 divisors, whose sum is σ = 2441115986400. Its totient is φ = 255794085888.

The previous prime is 840784828399. The next prime is 840784828453. The reversal of 840784828416 is 614828487048.

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

It is a super-2 number, since 2×840784828416² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 840784828416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7049470 + ... + 7167746.

Almost surely, 2^840784828416 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 840784828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220557993200).

840784828416 is an abundant number, since it is smaller than the sum of its proper divisors (1600331157984).

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

840784828416 is a wasteful number, since it uses less digits than its factorization.

840784828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118404 (or 118384 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 60.

The spelling of 840784828416 in words is "eight hundred forty billion, seven hundred eighty-four million, eight hundred twenty-eight thousand, four hundred sixteen".