7965090 has 96 divisors (see below), whose sum is σ = 24261120. Its totient is φ = 1775232.

The previous prime is 7965079. The next prime is 7965091. The reversal of 7965090 is 905697.

It is an Ulam number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (7965091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29476 + ... + 29744.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 2^7965090 is an apocalyptic number.

7965090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7965090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130560).

7965090 is an abundant number, since it is smaller than the sum of its proper divisors (16296030).

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

7965090 is a wasteful number, since it uses less digits than its factorization.

7965090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 7965090 is about 2822.2491031091. The cubic root of 7965090 is about 199.7086591419.

It can be divided in two parts, 796 and 5090, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 7965090 in words is "seven million, nine hundred sixty-five thousand, ninety".