7717680 has 120 divisors (see below), whose sum is σ = 26946192. Its totient is φ = 2052864.

The previous prime is 7717679. The next prime is 7717681. The reversal of 7717680 is 867177.

It is an interprime number because it is at equal distance from previous prime (7717679) and next prime (7717681).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×7717680³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7717681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19242 + ... + 19638.

Almost surely, 2^7717680 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 7717680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473096).

7717680 is an abundant number, since it is smaller than the sum of its proper divisors (19228512).

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

7717680 is a wasteful number, since it uses less digits than its factorization.

7717680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 7717680 is about 2778.0712733837. The cubic root of 7717680 is about 197.6191024384.

The spelling of 7717680 in words is "seven million, seven hundred seventeen thousand, six hundred eighty".