776766364416 has 432 divisors, whose sum is σ = 2675885839200. Its totient is φ = 221615751168.

The previous prime is 776766364379. The next prime is 776766364433. The reversal of 776766364416 is 614463667677.

776766364416 is a `hidden beast` number, since 77 + 67 + 6 + 63 + 6 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×776766364416² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341735056 + ... + 341737328.

Almost surely, 2^776766364416 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 776766364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337942919600).

776766364416 is an abundant number, since it is smaller than the sum of its proper divisors (1899119474784).

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

776766364416 is a wasteful number, since it uses less digits than its factorization.

776766364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3294 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 63.

The spelling of 776766364416 in words is "seven hundred seventy-six billion, seven hundred sixty-six million, three hundred sixty-four thousand, four hundred sixteen".