7813680 has 80 divisors (see below), whose sum is σ = 27688704. Its totient is φ = 1785600.

The previous prime is 7813669. The next prime is 7813691. The reversal of 7813680 is 863187.

It is an interprime number because it is at equal distance from previous prime (7813669) and next prime (7813691).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7813680² = 122107190284800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646 + ... + 4005.

Almost surely, 2^7813680 is an apocalyptic number.

7813680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844352).

7813680 is an abundant number, since it is smaller than the sum of its proper divisors (19875024).

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

7813680 is a wasteful number, since it uses less digits than its factorization.

7813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 7813680 is about 2795.2960487219. The cubic root of 7813680 is about 198.4351210371.

The spelling of 7813680 in words is "seven million, eight hundred thirteen thousand, six hundred eighty".