827195904 has 120 divisors (see below), whose sum is σ = 2415364380. Its totient is φ = 272498688.

The previous prime is 827195899. The next prime is 827195917. The reversal of 827195904 is 409591728.

It can be written as a sum of positive squares in 2 ways, for example, as 826677504 + 518400 = 28752^2 + 720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 827195904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409104 + ... + 411120.

Almost surely, 2^827195904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827195904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207682190).

827195904 is an abundant number, since it is smaller than the sum of its proper divisors (1588168476).

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

827195904 is a wasteful number, since it uses less digits than its factorization.

827195904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 827195904 is about 28761.0136121799. The cubic root of 827195904 is about 938.7201171928.

The spelling of 827195904 in words is "eight hundred twenty-seven million, one hundred ninety-five thousand, nine hundred four".