828323758080 has 768 divisors, whose sum is σ = 3534699954240. Its totient is φ = 174738898944.

The previous prime is 828323758039. The next prime is 828323758091. The reversal of 828323758080 is 80857323828.

It is a happy number.

828323758080 is a `hidden beast` number, since 8 + 28 + 3 + 2 + 37 + 580 + 8 + 0 = 666.

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

It is a super-2 number, since 2×828323758080² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134181874 + ... + 134188046.

Almost surely, 2^828323758080 is an apocalyptic number.

828323758080 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 828323758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767349977120).

828323758080 is an abundant number, since it is smaller than the sum of its proper divisors (2706376196160).

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

828323758080 is a wasteful number, since it uses less digits than its factorization.

828323758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 828323758080 in words is "eight hundred twenty-eight billion, three hundred twenty-three million, seven hundred fifty-eight thousand, eighty".