778285516297212 has 1152 divisors, whose sum is σ = 2586339423682560. Its totient is φ = 191536192512000.

The previous prime is 778285516297183. The next prime is 778285516297231. The reversal of 778285516297212 is 212792615582877.

778285516297212 is a `hidden beast` number, since 7 + 7 + 8 + 2 + 8 + 5 + 516 + 2 + 97 + 2 + 12 = 666.

It is a super-2 number, since 2×778285516297212² (a number of 31 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 569338343353 + ... + 569338344719.

It is an arithmetic number, because the mean of its divisors is an integer number (2245086305280).

Almost surely, 2^{778285516297212} 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 778285516297212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293169711841280).

778285516297212 is an abundant number, since it is smaller than the sum of its proper divisors (1808053907385348).

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

778285516297212 is a wasteful number, since it uses less digits than its factorization.

778285516297212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2578 counting only the distinct ones).

The product of its digits is 474163200, while the sum is 72.

The spelling of 778285516297212 in words is "seven hundred seventy-eight trillion, two hundred eighty-five billion, five hundred sixteen million, two hundred ninety-seven thousand, two hundred twelve".