827789560 has 64 divisors (see below), whose sum is σ = 2052499680. Its totient is φ = 298529280.

The previous prime is 827789539. The next prime is 827789591. The reversal of 827789560 is 65987728.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 827789498 and 827789507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3850 + ... + 40870.

Almost surely, 2^827789560 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 827789560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026249840).

827789560 is an abundant number, since it is smaller than the sum of its proper divisors (1224710120).

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

827789560 is a wasteful number, since it uses less digits than its factorization.

827789560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37088 (or 37084 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The square root of 827789560 is about 28771.3322597338. The cubic root of 827789560 is about 938.9446281243.

The spelling of 827789560 in words is "eight hundred twenty-seven million, seven hundred eighty-nine thousand, five hundred sixty".