7797329879040 has 1568 divisors, whose sum is σ = 30865281037920. Its totient is φ = 1878160048128.

The previous prime is 7797329878991. The next prime is 7797329879057. The reversal of 7797329879040 is 409789237977.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7797329879040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20573429571 + ... + 20573429949.

Almost surely, 2^{7797329879040} 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 7797329879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432640518960).

7797329879040 is an abundant number, since it is smaller than the sum of its proper divisors (23067951158880).

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

7797329879040 is an equidigital number, since it uses as much as digits as its factorization.

7797329879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 7797329879040 in words is "seven trillion, seven hundred ninety-seven billion, three hundred twenty-nine million, eight hundred seventy-nine thousand, forty".