7867680 has 96 divisors (see below), whose sum is σ = 25510464. Its totient is φ = 2036736.

The previous prime is 7867669. The next prime is 7867681. The reversal of 7867680 is 867687.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (7867681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17539 + ... + 17981.

It is an arithmetic number, because the mean of its divisors is an integer number (265734).

Almost surely, 2^7867680 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 7867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755232).

7867680 is an abundant number, since it is smaller than the sum of its proper divisors (17642784).

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

7867680 is a wasteful number, since it uses less digits than its factorization.

7867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 7867680 is about 2804.9385019996. The cubic root of 7867680 is about 198.8911974783.

The spelling of 7867680 in words is "seven million, eight hundred sixty-seven thousand, six hundred eighty".