809857764 has 189 divisors, whose sum is σ = 2332415001. Its totient is φ = 245877120.

The previous prime is 809857721. The next prime is 809857787. The reversal of 809857764 is 467758908.

The square root of 809857764 is 28458.

It is a perfect power (a square), and thus also a powerful number.

809857764 is a `hidden beast` number, since 8 + 0 + 9 + 8 + 577 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 630512100 + 179345664 = 25110^2 + 13392^2 .

It is a super-2 number, since 2×809857764² = 1311739195822159392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 809857764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 26124429 + ... + 26124459.

Almost surely, 2^809857764 is an apocalyptic number.

809857764 is the 28458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809857764

809857764 is an abundant number, since it is smaller than the sum of its proper divisors (1522557237).

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

809857764 is a wasteful number, since it uses less digits than its factorization.

809857764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The cubic root of 809857764 is about 932.1151855893.

The spelling of 809857764 in words is "eight hundred nine million, eight hundred fifty-seven thousand, seven hundred sixty-four".