828676390080 has 448 divisors, whose sum is σ = 3285572336640. Its totient is φ = 171914035200.

The previous prime is 828676390039. The next prime is 828676390097. The reversal of 828676390080 is 80093676828.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 828676390080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47373976 + ... + 47391464.

Almost surely, 2^828676390080 is an apocalyptic number.

828676390080 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 828676390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642786168320).

828676390080 is an abundant number, since it is smaller than the sum of its proper divisors (2456895946560).

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

828676390080 is a wasteful number, since it uses less digits than its factorization.

828676390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18168 (or 18158 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 828676390080 in words is "eight hundred twenty-eight billion, six hundred seventy-six million, three hundred ninety thousand, eighty".