809364640 has 96 divisors (see below), whose sum is σ = 2244461184. Its totient is φ = 269982720.

The previous prime is 809364637. The next prime is 809364659. The reversal of 809364640 is 46463908.

It is a super-2 number, since 2×809364640² = 1310142240964659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 809364593 and 809364602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31675 + ... + 51205.

It is an arithmetic number, because the mean of its divisors is an integer number (23379804).

Almost surely, 2^809364640 is an apocalyptic number.

809364640 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 809364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122230592).

809364640 is an abundant number, since it is smaller than the sum of its proper divisors (1435096544).

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

809364640 is a wasteful number, since it uses less digits than its factorization.

809364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19590 (or 19582 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 809364640 is about 28449.3346143631. The cubic root of 809364640 is about 931.9259582482.

The spelling of 809364640 in words is "eight hundred nine million, three hundred sixty-four thousand, six hundred forty".