7869680 has 160 divisors (see below), whose sum is σ = 23998464. Its totient is φ = 2331648.

The previous prime is 7869679. The next prime is 7869683. The reversal of 7869680 is 869687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7869683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167417 + ... + 167463.

Almost surely, 2^7869680 is an apocalyptic number.

7869680 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 7869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999232).

7869680 is an abundant number, since it is smaller than the sum of its proper divisors (16128784).

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

7869680 is a wasteful number, since it uses less digits than its factorization.

7869680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 7869680 is about 2805.2949934009. The cubic root of 7869680 is about 198.9080490657.

The spelling of 7869680 in words is "seven million, eight hundred sixty-nine thousand, six hundred eighty".