827908853760 has 728 divisors, whose sum is σ = 3109545267264. Its totient is φ = 211089162240.

The previous prime is 827908853747. The next prime is 827908853813. The reversal of 827908853760 is 67358809728.

827908853760 is a `hidden beast` number, since 8 + 2 + 7 + 90 + 8 + 8 + 537 + 6 + 0 = 666.

It is a super-2 number, since 2×827908853760² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 343386955 + ... + 343389365.

Almost surely, 2^827908853760 is an apocalyptic number.

827908853760 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 827908853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554772633632).

827908853760 is an abundant number, since it is smaller than the sum of its proper divisors (2281636413504).

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

827908853760 is an equidigital number, since it uses as much as digits as its factorization.

827908853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 827908853760 in words is "eight hundred twenty-seven billion, nine hundred eight million, eight hundred fifty-three thousand, seven hundred sixty".