824485080 has 128 divisors (see below), whose sum is σ = 2592000000. Its totient is φ = 209524224.

The previous prime is 824485073. The next prime is 824485087. The reversal of 824485080 is 80584428.

It is an interprime number because it is at equal distance from previous prime (824485073) and next prime (824485087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824485087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273421 + ... + 276419.

It is an arithmetic number, because the mean of its divisors is an integer number (20250000).

Almost surely, 2^824485080 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 824485080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000000).

824485080 is an abundant number, since it is smaller than the sum of its proper divisors (1767514920).

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

824485080 is a wasteful number, since it uses less digits than its factorization.

824485080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 824485080 is about 28713.8482269444. The cubic root of 824485080 is about 937.6935607449.

The spelling of 824485080 in words is "eight hundred twenty-four million, four hundred eighty-five thousand, eighty".