827935879680 has 2560 divisors, whose sum is σ = 3880551628800. Its totient is φ = 162564931584.

The previous prime is 827935879649. The next prime is 827935879699. The reversal of 827935879680 is 86978539728.

827935879680 is a `hidden beast` number, since 82 + 79 + 358 + 79 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×827935879680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 827935879599 and 827935879608.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8535421392 + ... + 8535421488.

It is an arithmetic number, because the mean of its divisors is an integer number (1515840480).

Almost surely, 2^827935879680 is an apocalyptic number.

827935879680 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 827935879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940275814400).

827935879680 is an abundant number, since it is smaller than the sum of its proper divisors (3052615749120).

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

827935879680 is a wasteful number, since it uses less digits than its factorization.

827935879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 827935879680 in words is "eight hundred twenty-seven billion, nine hundred thirty-five million, eight hundred seventy-nine thousand, six hundred eighty".