7829208878040 has 768 divisors, whose sum is σ = 30004535808000. Its totient is φ = 1750356034560.

The previous prime is 7829208878027. The next prime is 7829208878077. The reversal of 7829208878040 is 408788029287.

It is a super-2 number, since 2×7829208878040² (a number of 27 digits) contains 22 as substring.

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, 457224919 + ... + 457242041.

It is an arithmetic number, because the mean of its divisors is an integer number (39068406000).

Almost surely, 2^{7829208878040} 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 7829208878040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002267904000).

7829208878040 is an abundant number, since it is smaller than the sum of its proper divisors (22175326929960).

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

7829208878040 is a wasteful number, since it uses less digits than its factorization.

7829208878040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17332 (or 17325 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 7829208878040 in words is "seven trillion, eight hundred twenty-nine billion, two hundred eight million, eight hundred seventy-eight thousand, forty".