827963900 has 18 divisors (see below), whose sum is σ = 1796681880. Its totient is φ = 331185520.

The previous prime is 827963897. The next prime is 827963909. The reversal of 827963900 is 9369728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827963909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4139720 + ... + 4139919.

It is an arithmetic number, because the mean of its divisors is an integer number (99815660).

Almost surely, 2^827963900 is an apocalyptic number.

It is an amenable number.

827963900 is an abundant number, since it is smaller than the sum of its proper divisors (968717980).

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

827963900 is a wasteful number, since it uses less digits than its factorization.

827963900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279653 (or 8279646 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 827963900 is about 28774.3618521767. The cubic root of 827963900 is about 939.0105402529.

The spelling of 827963900 in words is "eight hundred twenty-seven million, nine hundred sixty-three thousand, nine hundred".