7706880 has 144 divisors (see below), whose sum is σ = 27471360. Its totient is φ = 2045952.

The previous prime is 7706873. The next prime is 7706887. The reversal of 7706880 is 886077.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7706873) and next prime (7706887).

It is a tau number, because it is divible by the number of its divisors (144).

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 (7706887) 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, 34449 + ... + 34671.

Almost surely, 2^7706880 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 7706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735680).

7706880 is an abundant number, since it is smaller than the sum of its proper divisors (19764480).

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

7706880 is a wasteful number, since it uses less digits than its factorization.

7706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7706880 is about 2776.1267982569. The cubic root of 7706880 is about 197.5268777179.

The spelling of 7706880 in words is "seven million, seven hundred six thousand, eight hundred eighty".