7739680 has 72 divisors (see below), whose sum is σ = 20019636. Its totient is φ = 2810880.

The previous prime is 7739671. The next prime is 7739687. The reversal of 7739680 is 869377.

7739680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 55696 + 7683984 = 236^2 + 2772^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7739687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126850 + ... + 126910.

Almost surely, 2^7739680 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 7739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009818).

7739680 is an abundant number, since it is smaller than the sum of its proper divisors (12279956).

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

7739680 is a wasteful number, since it uses less digits than its factorization.

7739680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 7739680 is about 2782.0280372419. The cubic root of 7739680 is about 197.8067018067.

The spelling of 7739680 in words is "seven million, seven hundred thirty-nine thousand, six hundred eighty".