7672880 has 20 divisors (see below), whose sum is σ = 17839632. Its totient is φ = 3069120.

The previous prime is 7672879. The next prime is 7672883. The reversal of 7672880 is 882767.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7672883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47876 + ... + 48035.

Almost surely, 2^7672880 is an apocalyptic number.

It is an amenable number.

7672880 is an abundant number, since it is smaller than the sum of its proper divisors (10166752).

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

7672880 is a wasteful number, since it uses less digits than its factorization.

7672880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95924 (or 95918 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 7672880 is about 2769.9963898893. The cubic root of 7672880 is about 197.2359768523.

The spelling of 7672880 in words is "seven million, six hundred seventy-two thousand, eight hundred eighty".