7693878240 has 288 divisors, whose sum is σ = 27809308800. Its totient is φ = 1931627520.

The previous prime is 7693878229. The next prime is 7693878271. The reversal of 7693878240 is 428783967.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4896655 + ... + 4898225.

It is an arithmetic number, because the mean of its divisors is an integer number (96560100).

Almost surely, 2^7693878240 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 7693878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904654400).

7693878240 is an abundant number, since it is smaller than the sum of its proper divisors (20115430560).

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

7693878240 is a wasteful number, since it uses less digits than its factorization.

7693878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7693878240 is about 87714.7549731515. The cubic root of 7693878240 is about 1974.1573708236.

The spelling of 7693878240 in words is "seven billion, six hundred ninety-three million, eight hundred seventy-eight thousand, two hundred forty".