7689306240 has 512 divisors, whose sum is σ = 33958656000. Its totient is φ = 1597501440.

The previous prime is 7689306223. The next prime is 7689306241. The reversal of 7689306240 is 426039867.

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 (7689306241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1327671 + ... + 1333449.

It is an arithmetic number, because the mean of its divisors is an integer number (66325500).

Almost surely, 2^7689306240 is an apocalyptic number.

7689306240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7689306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16979328000).

7689306240 is an abundant number, since it is smaller than the sum of its proper divisors (26269349760).

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

7689306240 is a wasteful number, since it uses less digits than its factorization.

7689306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7689306240 is about 87688.6893504516. The cubic root of 7689306240 is about 1973.7662531218.

The spelling of 7689306240 in words is "seven billion, six hundred eighty-nine million, three hundred six thousand, two hundred forty".