824503680 has 864 divisors, whose sum is σ = 3872821680. Its totient is φ = 158146560.

The previous prime is 824503649. The next prime is 824503699. The reversal of 824503680 is 86305428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 63423354 + ... + 63423366.

Almost surely, 2^824503680 is an apocalyptic number.

824503680 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 824503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936410840).

824503680 is an abundant number, since it is smaller than the sum of its proper divisors (3048318000).

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

824503680 is a wasteful number, since it uses less digits than its factorization.

824503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 824503680 is about 28714.1721106495. The cubic root of 824503680 is about 937.7006120021.

The spelling of 824503680 in words is "eight hundred twenty-four million, five hundred three thousand, six hundred eighty".