809933040 has 640 divisors, whose sum is σ = 3548344320. Its totient is φ = 165445632.

The previous prime is 809933027. The next prime is 809933041. The reversal of 809933040 is 40339908.

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

It is a junction number, because it is equal to n+sod(n) for n = 809932986 and 809933004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809933041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5911852 + ... + 5911988.

It is an arithmetic number, because the mean of its divisors is an integer number (5544288).

Almost surely, 2^809933040 is an apocalyptic number.

809933040 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 809933040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774172160).

809933040 is an abundant number, since it is smaller than the sum of its proper divisors (2738411280).

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

809933040 is a wasteful number, since it uses less digits than its factorization.

809933040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 809933040 is about 28459.3225499132. The cubic root of 809933040 is about 932.1440646229.

The spelling of 809933040 in words is "eight hundred nine million, nine hundred thirty-three thousand, forty".