7679880 has 128 divisors (see below), whose sum is σ = 27619200. Its totient is φ = 1886976.

The previous prime is 7679879. The next prime is 7679887. The reversal of 7679880 is 889767.

7679880 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7679887) 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, 13767 + ... + 14313.

It is an arithmetic number, because the mean of its divisors is an integer number (215775).

Almost surely, 2^7679880 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 7679880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13809600).

7679880 is an abundant number, since it is smaller than the sum of its proper divisors (19939320).

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

7679880 is a wasteful number, since it uses less digits than its factorization.

7679880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7679880 is about 2771.2596413905. The cubic root of 7679880 is about 197.2959383527.

The spelling of 7679880 in words is "seven million, six hundred seventy-nine thousand, eight hundred eighty".