7889312340 has 576 divisors, whose sum is σ = 31513337856. Its totient is φ = 1551965184.

The previous prime is 7889312311. The next prime is 7889312359. The reversal of 7889312340 is 432139887.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16199577 + ... + 16200063.

It is an arithmetic number, because the mean of its divisors is an integer number (54710656).

Almost surely, 2^7889312340 is an apocalyptic number.

7889312340 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 7889312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15756668928).

7889312340 is an abundant number, since it is smaller than the sum of its proper divisors (23624025516).

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

7889312340 is a wasteful number, since it uses less digits than its factorization.

7889312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7889312340 is about 88821.8010400600. The cubic root of 7889312340 is about 1990.7331574634.

The spelling of 7889312340 in words is "seven billion, eight hundred eighty-nine million, three hundred twelve thousand, three hundred forty".