827720640 has 112 divisors (see below), whose sum is σ = 2920044960. Its totient is φ = 220723200.

The previous prime is 827720629. The next prime is 827720653. The reversal of 827720640 is 46027728.

827720640 is a `hidden beast` number, since 8 + 2 + 7 + 7 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 827720595 and 827720604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39261 + ... + 56540.

It is an arithmetic number, because the mean of its divisors is an integer number (26071830).

Almost surely, 2^827720640 is an apocalyptic number.

827720640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827720640 is an abundant number, since it is smaller than the sum of its proper divisors (2092324320).

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

827720640 is a wasteful number, since it uses less digits than its factorization.

827720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95827 (or 95811 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 827720640 is about 28770.1345148055. The cubic root of 827720640 is about 938.9185692228.

The spelling of 827720640 in words is "eight hundred twenty-seven million, seven hundred twenty thousand, six hundred forty".