825080753784 has 256 divisors, whose sum is σ = 2483036881920. Its totient is φ = 223510302720.

The previous prime is 825080753771. The next prime is 825080753803. The reversal of 825080753784 is 487357080528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333095554 + ... + 333098030.

It is an arithmetic number, because the mean of its divisors is an integer number (9699362820).

Almost surely, 2^825080753784 is an apocalyptic number.

825080753784 is a gapful number since it is divisible by the number (84) 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 825080753784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241518440960).

825080753784 is an abundant number, since it is smaller than the sum of its proper divisors (1657956128136).

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

825080753784 is a wasteful number, since it uses less digits than its factorization.

825080753784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 825080753784 in words is "eight hundred twenty-five billion, eighty million, seven hundred fifty-three thousand, seven hundred eighty-four".