7813080 has 96 divisors (see below), whose sum is σ = 27714960. Its totient is φ = 1893120.

The previous prime is 7813073. The next prime is 7813087. The reversal of 7813080 is 803187.

It is an interprime number because it is at equal distance from previous prime (7813073) and next prime (7813087).

It is a super-2 number, since 2×7813080² = 122088438172800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2974 + ... + 4946.

Almost surely, 2^7813080 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 7813080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857480).

7813080 is an abundant number, since it is smaller than the sum of its proper divisors (19901880).

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

7813080 is a wasteful number, since it uses less digits than its factorization.

7813080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7813080 is about 2795.1887235033. The cubic root of 7813080 is about 198.4300417351.

It can be divided in two parts, 78130 and 80, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 7813080 in words is "seven million, eight hundred thirteen thousand, eighty".