7877068463880 has 1024 divisors, whose sum is σ = 34205043916800. Its totient is φ = 1563526609920.

The previous prime is 7877068463783. The next prime is 7877068463921. The reversal of 7877068463880 is 883648607787.

7877068463880 is a `hidden beast` number, since 7 + 87 + 7 + 0 + 6 + 8 + 463 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7877068463799 and 7877068463808.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1696544839 + ... + 1696549481.

It is an arithmetic number, because the mean of its divisors is an integer number (33403363200).

Almost surely, 2^{7877068463880} is an apocalyptic number.

7877068463880 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 7877068463880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102521958400).

7877068463880 is an abundant number, since it is smaller than the sum of its proper divisors (26327975452920).

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

7877068463880 is a wasteful number, since it uses less digits than its factorization.

7877068463880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 7877068463880 in words is "seven trillion, eight hundred seventy-seven billion, sixty-eight million, four hundred sixty-three thousand, eight hundred eighty".