806521824 has 144 divisors (see below), whose sum is σ = 2369334240. Its totient is φ = 260075520.

The previous prime is 806521801. The next prime is 806521831. The reversal of 806521824 is 428125608.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971732 + ... + 1972140.

It is an arithmetic number, because the mean of its divisors is an integer number (16453710).

Almost surely, 2^806521824 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 806521824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184667120).

806521824 is an abundant number, since it is smaller than the sum of its proper divisors (1562812416).

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

806521824 is a wasteful number, since it uses less digits than its factorization.

806521824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 806521824 is about 28399.3278793707. The cubic root of 806521824 is about 930.8335779793.

The spelling of 806521824 in words is "eight hundred six million, five hundred twenty-one thousand, eight hundred twenty-four".