827815072 has 96 divisors (see below), whose sum is σ = 1944069120. Its totient is φ = 339517440.

The previous prime is 827815033. The next prime is 827815073. The reversal of 827815072 is 270518728.

It is not an unprimeable number, because it can be changed into a prime (827815073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672954 + ... + 674182.

It is an arithmetic number, because the mean of its divisors is an integer number (20250720).

Almost surely, 2^827815072 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 827815072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972034560).

827815072 is an abundant number, since it is smaller than the sum of its proper divisors (1116254048).

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

827815072 is a wasteful number, since it uses less digits than its factorization.

827815072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The square root of 827815072 is about 28771.7756143065. The cubic root of 827815072 is about 938.9542739370.

The spelling of 827815072 in words is "eight hundred twenty-seven million, eight hundred fifteen thousand, seventy-two".