827936640 has 160 divisors (see below), whose sum is σ = 2956896360. Its totient is φ = 220769280.

The previous prime is 827936633. The next prime is 827936699. The reversal of 827936640 is 46639728.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 43855 + ... + 59825.

Almost surely, 2^827936640 is an apocalyptic number.

827936640 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 827936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478448180).

827936640 is an abundant number, since it is smaller than the sum of its proper divisors (2128959720).

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

827936640 is a wasteful number, since it uses less digits than its factorization.

827936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16002 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 827936640 is about 28773.8881627075. Note that the first 3 decimals coincide. The cubic root of 827936640 is about 939.0002347681. Note that the first 3 decimals are identical.

The spelling of 827936640 in words is "eight hundred twenty-seven million, nine hundred thirty-six thousand, six hundred forty".