8085792 has 192 divisors, whose sum is σ = 27095040. Its totient is φ = 2073600.

The previous prime is 8085787. The next prime is 8085793. The reversal of 8085792 is 2975808.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8085792.

It is not an unprimeable number, because it can be changed into a prime (8085793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260817 + ... + 260847.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 2^8085792 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 8085792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

8085792 is an abundant number, since it is smaller than the sum of its proper divisors (19009248).

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

8085792 is a wasteful number, since it uses less digits than its factorization.

8085792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 8085792 is about 2843.5527074419. The cubic root of 8085792 is about 200.7123928030.

The spelling of 8085792 in words is "eight million, eighty-five thousand, seven hundred ninety-two".