7805259090 has 128 divisors (see below), whose sum is σ = 21984019200. Its totient is φ = 1965150720.

The previous prime is 7805259043. The next prime is 7805259097. The reversal of 7805259090 is 909525087.

It is a happy number.

7805259090 is a `hidden beast` number, since 7 + 8 + 0 + 52 + 590 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7805259097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1603260 + ... + 1608120.

It is an arithmetic number, because the mean of its divisors is an integer number (171750150).

Almost surely, 2^7805259090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7805259090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10992009600).

7805259090 is an abundant number, since it is smaller than the sum of its proper divisors (14178760110).

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

7805259090 is a wasteful number, since it uses less digits than its factorization.

7805259090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 7805259090 is about 88347.3773804294. The cubic root of 7805259090 is about 1983.6380999698.

The spelling of 7805259090 in words is "seven billion, eight hundred five million, two hundred fifty-nine thousand, ninety".