828180778752 has 288 divisors, whose sum is σ = 2615273472000. Its totient is φ = 257940910080.

The previous prime is 828180778727. The next prime is 828180778759. The reversal of 828180778752 is 257877081828.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 828180778752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828180778759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6147249 + ... + 6280527.

Almost surely, 2^828180778752 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 828180778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307636736000).

828180778752 is an abundant number, since it is smaller than the sum of its proper divisors (1787092693248).

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

828180778752 is a wasteful number, since it uses less digits than its factorization.

828180778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133364 (or 133344 counting only the distinct ones).

The product of its (nonzero) digits is 28098560, while the sum is 63.

The spelling of 828180778752 in words is "eight hundred twenty-eight billion, one hundred eighty million, seven hundred seventy-eight thousand, seven hundred fifty-two".