809748000 has 288 divisors, whose sum is σ = 2919151872. Its totient is φ = 212544000.

The previous prime is 809747999. The next prime is 809748001. The reversal of 809748000 is 847908.

It is an interprime number because it is at equal distance from previous prime (809747999) and next prime (809748001).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (809748001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2987865 + ... + 2988135.

It is an arithmetic number, because the mean of its divisors is an integer number (10135944).

Almost surely, 2^809748000 is an apocalyptic number.

809748000 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 809748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459575936).

809748000 is an abundant number, since it is smaller than the sum of its proper divisors (2109403872).

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

809748000 is a wasteful number, since it uses less digits than its factorization.

809748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 809748000 is about 28456.0714084007. The cubic root of 809748000 is about 932.0730723037.

The spelling of 809748000 in words is "eight hundred nine million, seven hundred forty-eight thousand".