7609680 has 160 divisors (see below), whose sum is σ = 28331520. Its totient is φ = 1866240.

The previous prime is 7609673. The next prime is 7609681. The reversal of 7609680 is 869067.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7609681) 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, 27945 + ... + 28215.

It is an arithmetic number, because the mean of its divisors is an integer number (177072).

Almost surely, 2^7609680 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 7609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165760).

7609680 is an abundant number, since it is smaller than the sum of its proper divisors (20721840).

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

7609680 is a wasteful number, since it uses less digits than its factorization.

7609680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7609680 is about 2758.5648442623. The cubic root of 7609680 is about 196.6929518955.

It can be divided in two parts, 76096 and 80, that added together give a square (76176 = 276²).

The spelling of 7609680 in words is "seven million, six hundred nine thousand, six hundred eighty".