809429088 has 96 divisors (see below), whose sum is σ = 2306126592. Its totient is φ = 247104000.

The previous prime is 809429081. The next prime is 809429099. The reversal of 809429088 is 880924908.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809429081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161013 + ... + 165963.

It is an arithmetic number, because the mean of its divisors is an integer number (24022152).

Almost surely, 2^809429088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153063296).

809429088 is an abundant number, since it is smaller than the sum of its proper divisors (1496697504).

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

809429088 is a wasteful number, since it uses less digits than its factorization.

809429088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 809429088 is about 28450.4672720854. The cubic root of 809429088 is about 931.9506933582.

The spelling of 809429088 in words is "eight hundred nine million, four hundred twenty-nine thousand, eighty-eight".