778436471162880 has 4608 divisors, whose sum is σ = 3255712911360000. Its totient is φ = 177083661680640.

The previous prime is 778436471162827. The next prime is 778436471162939. The reversal of 778436471162880 is 88261174634877.

778436471162880 is a `hidden beast` number, since 7 + 7 + 8 + 43 + 6 + 471 + 16 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 = 778436471162799 and 778436471162808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3911741061021 + ... + 3911741061219.

It is an arithmetic number, because the mean of its divisors is an integer number (706534920000).

Almost surely, 2^{778436471162880} 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 778436471162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627856455680000).

778436471162880 is an abundant number, since it is smaller than the sum of its proper divisors (2477276440197120).

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

778436471162880 is a wasteful number, since it uses less digits than its factorization.

778436471162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 433 counting only the distinct ones).

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

The spelling of 778436471162880 in words is "seven hundred seventy-eight trillion, four hundred thirty-six billion, four hundred seventy-one million, one hundred sixty-two thousand, eight hundred eighty".