7842709840 has 160 divisors (see below), whose sum is σ = 21774606336. Its totient is φ = 2570365440.

The previous prime is 7842709817. The next prime is 7842709877. The reversal of 7842709840 is 489072487.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438159 + ... + 1443601.

Almost surely, 2^7842709840 is an apocalyptic number.

7842709840 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 7842709840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10887303168).

7842709840 is an abundant number, since it is smaller than the sum of its proper divisors (13931896496).

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

7842709840 is a wasteful number, since it uses less digits than its factorization.

7842709840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 7842709840 is about 88559.0754242613. The cubic root of 7842709840 is about 1986.8056324175.

The spelling of 7842709840 in words is "seven billion, eight hundred forty-two million, seven hundred nine thousand, eight hundred forty".