809970 has 96 divisors (see below), whose sum is σ = 2462400. Its totient is φ = 169344.

The previous prime is 809929. The next prime is 809981. The reversal of 809970 is 79908.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27916 + ... + 27944.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2⁸⁰⁹⁹⁷⁰ is an apocalyptic number.

809970 is the 735-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231200).

809970 is an abundant number, since it is smaller than the sum of its proper divisors (1652430).

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

809970 is a wasteful number, since it uses less digits than its factorization.

809970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 809970 is about 899.9833331790. The cubic root of 809970 is about 93.2158243376.

The spelling of 809970 in words is "eight hundred nine thousand, nine hundred seventy".