84784901760 has 384 divisors, whose sum is σ = 322015599360. Its totient is φ = 20425236480.

The previous prime is 84784901741. The next prime is 84784901767. The reversal of 84784901760 is 6710948748.

It is a happy number.

84784901760 is a `hidden beast` number, since 84 + 7 + 8 + 490 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 84784901697 and 84784901706.

It is not an unprimeable number, because it can be changed into a prime (84784901767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3507315 + ... + 3531405.

It is an arithmetic number, because the mean of its divisors is an integer number (838582290).

Almost surely, 2^84784901760 is an apocalyptic number.

84784901760 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 84784901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161007799680).

84784901760 is an abundant number, since it is smaller than the sum of its proper divisors (237230697600).

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

84784901760 is a wasteful number, since it uses less digits than its factorization.

84784901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176 (or 24161 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 84784901760 in words is "eighty-four billion, seven hundred eighty-four million, nine hundred one thousand, seven hundred sixty".