809040960 has 700 divisors, whose sum is σ = 3615609228. Its totient is φ = 170698752.

The previous prime is 809040949. The next prime is 809040971. The reversal of 809040960 is 69040908.

It is an interprime number because it is at equal distance from previous prime (809040949) and next prime (809040971).

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 609892416 = 14112^2 + 24696^2 .

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 polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 62233914 + ... + 62233926.

Almost surely, 2^809040960 is an apocalyptic number.

809040960 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 809040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807804614).

809040960 is an abundant number, since it is smaller than the sum of its proper divisors (2806568268).

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

809040960 is an equidigital number, since it uses as much as digits as its factorization.

809040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 809040960 is about 28443.6453359973. The cubic root of 809040960 is about 931.8017101655.

It can be divided in two parts, 809040 and 960, that added together give a 4-th power (810000 = 30⁴).

The spelling of 809040960 in words is "eight hundred nine million, forty thousand, nine hundred sixty".