7812779798880 has 576 divisors, whose sum is σ = 30627274728960. Its totient is φ = 1776576872448.

The previous prime is 7812779798861. The next prime is 7812779798917. The reversal of 7812779798880 is 888979772187.

It is a super-2 number, since 2×7812779798880² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7812779798880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1654196199 + ... + 1654200921.

It is an arithmetic number, because the mean of its divisors is an integer number (53172351960).

Almost surely, 2^{7812779798880} is an apocalyptic number.

7812779798880 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 7812779798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313637364480).

7812779798880 is an abundant number, since it is smaller than the sum of its proper divisors (22814494930080).

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

7812779798880 is a wasteful number, since it uses less digits than its factorization.

7812779798880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 1593188352, while the sum is 81.

The spelling of 7812779798880 in words is "seven trillion, eight hundred twelve billion, seven hundred seventy-nine million, seven hundred ninety-eight thousand, eight hundred eighty".