827040816 has 360 divisors, whose sum is σ = 2940288000. Its totient is φ = 215550720.

The previous prime is 827040791. The next prime is 827040817. The reversal of 827040816 is 618040728.

It is a super-2 number, since 2×827040816² = 1367993022659891712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (827040817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4155885 + ... + 4156083.

Almost surely, 2^827040816 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 827040816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470144000).

827040816 is an abundant number, since it is smaller than the sum of its proper divisors (2113247184).

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

827040816 is a wasteful number, since it uses less digits than its factorization.

827040816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 827040816 is about 28758.3173360334. The cubic root of 827040816 is about 938.6614477675.

The spelling of 827040816 in words is "eight hundred twenty-seven million, forty thousand, eight hundred sixteen".