84778057728 has 768 divisors, whose sum is σ = 314693827200. Its totient is φ = 22359048192.

The previous prime is 84778057723. The next prime is 84778057733. The reversal of 84778057728 is 82775087748.

It is an interprime number because it is at equal distance from previous prime (84778057723) and next prime (84778057733).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (84778057723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6521389050 + ... + 6521389062.

Almost surely, 2^84778057728 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 84778057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157346913600).

84778057728 is an abundant number, since it is smaller than the sum of its proper divisors (229915769472).

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

84778057728 is an frugal number, since it uses more digits than its factorization.

84778057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 49172480, while the sum is 63.

The spelling of 84778057728 in words is "eighty-four billion, seven hundred seventy-eight million, fifty-seven thousand, seven hundred twenty-eight".