809479120 has 80 divisors (see below), whose sum is σ = 1930376448. Its totient is φ = 315537920.

The previous prime is 809479103. The next prime is 809479127. The reversal of 809479120 is 21974908.

809479120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809479127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1733127 + ... + 1733593.

Almost surely, 2^809479120 is an apocalyptic number.

809479120 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 809479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965188224).

809479120 is an abundant number, since it is smaller than the sum of its proper divisors (1120897328).

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

809479120 is a wasteful number, since it uses less digits than its factorization.

809479120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 809479120 is about 28451.3465410690. The cubic root of 809479120 is about 931.9698947093.

The spelling of 809479120 in words is "eight hundred nine million, four hundred seventy-nine thousand, one hundred twenty".