827715840 has 432 divisors, whose sum is σ = 3170881728. Its totient is φ = 183386112.

The previous prime is 827715821. The next prime is 827715857. The reversal of 827715840 is 48517728.

It is a super-2 number, since 2×827715840² = 1370227023573811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 827715792 and 827715801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9972439 + ... + 9972521.

It is an arithmetic number, because the mean of its divisors is an integer number (7340004).

Almost surely, 2^827715840 is an apocalyptic number.

827715840 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 827715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585440864).

827715840 is an abundant number, since it is smaller than the sum of its proper divisors (2343165888).

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

827715840 is a wasteful number, since it uses less digits than its factorization.

827715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 827715840 is about 28770.0510948451. The cubic root of 827715840 is about 938.9167542715.

The spelling of 827715840 in words is "eight hundred twenty-seven million, seven hundred fifteen thousand, eight hundred forty".