824978560 has 128 divisors (see below), whose sum is σ = 2276346240. Its totient is φ = 280043520.

The previous prime is 824978519. The next prime is 824978569. The reversal of 824978560 is 65879428.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (824978569) 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, 478500 + ... + 480220.

It is an arithmetic number, because the mean of its divisors is an integer number (17783955).

Almost surely, 2^824978560 is an apocalyptic number.

824978560 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 824978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138173120).

824978560 is an abundant number, since it is smaller than the sum of its proper divisors (1451367680).

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

824978560 is a wasteful number, since it uses less digits than its factorization.

824978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 824978560 is about 28722.4400077709. The cubic root of 824978560 is about 937.8806030335.

The spelling of 824978560 in words is "eight hundred twenty-four million, nine hundred seventy-eight thousand, five hundred sixty".