827911040 has 96 divisors (see below), whose sum is σ = 2175715080. Its totient is φ = 301030400.

The previous prime is 827911003. The next prime is 827911061. The reversal of 827911040 is 40119728.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 827910988 and 827911006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72095 + ... + 82785.

Almost surely, 2^827911040 is an apocalyptic number.

827911040 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 827911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087857540).

827911040 is an abundant number, since it is smaller than the sum of its proper divisors (1347804040).

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

827911040 is a wasteful number, since it uses less digits than its factorization.

827911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10732 (or 10709 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 827911040 is about 28773.4433114982. The cubic root of 827911040 is about 938.9905566306.

The spelling of 827911040 in words is "eight hundred twenty-seven million, nine hundred eleven thousand, forty".