809724960 has 576 divisors, whose sum is σ = 3328625664. Its totient is φ = 176947200.

The previous prime is 809724947. The next prime is 809724989. The reversal of 809724960 is 69427908.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8347632 + ... + 8347728.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2^809724960 is an apocalyptic number.

809724960 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 809724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664312832).

809724960 is an abundant number, since it is smaller than the sum of its proper divisors (2518900704).

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

809724960 is a wasteful number, since it uses less digits than its factorization.

809724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 809724960 is about 28455.6665710013. Note that the first 3 decimals coincide. The cubic root of 809724960 is about 932.0642320360.

The spelling of 809724960 in words is "eight hundred nine million, seven hundred twenty-four thousand, nine hundred sixty".