7867080 has 144 divisors (see below), whose sum is σ = 28222740. Its totient is φ = 1889280.

The previous prime is 7867063. The next prime is 7867103. The reversal of 7867080 is 807687.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15876 + 7851204 = 126^2 + 2802^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191860 + ... + 191900.

Almost surely, 2^7867080 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 7867080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14111370).

7867080 is an abundant number, since it is smaller than the sum of its proper divisors (20355660).

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

7867080 is a wasteful number, since it uses less digits than its factorization.

7867080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7867080 is about 2804.8315457439. The cubic root of 7867080 is about 198.8861414451.

The spelling of 7867080 in words is "seven million, eight hundred sixty-seven thousand, eighty".