824969880 has 512 divisors, whose sum is σ = 3421440000. Its totient is φ = 176117760.

The previous prime is 824969843. The next prime is 824969881. The reversal of 824969880 is 88969428.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824969881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6297415 + ... + 6297545.

It is an arithmetic number, because the mean of its divisors is an integer number (6682500).

Almost surely, 2^824969880 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 824969880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710720000).

824969880 is an abundant number, since it is smaller than the sum of its proper divisors (2596470120).

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

824969880 is a wasteful number, since it uses less digits than its factorization.

824969880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 824969880 is about 28722.2889060047. The cubic root of 824969880 is about 937.8773137229.

The spelling of 824969880 in words is "eight hundred twenty-four million, nine hundred sixty-nine thousand, eight hundred eighty".