776045320803072 has 216 divisors, whose sum is σ = 2316121523679600. Its totient is φ = 249606834806784.

The previous prime is 776045320803061. The next prime is 776045320803079. The reversal of 776045320803072 is 270308023540677.

776045320803072 is a `hidden beast` number, since 7 + 7 + 6 + 0 + 4 + 5 + 320 + 8 + 0 + 307 + 2 = 666.

It is a super-3 number, since 3×776045320803072³ (a number of 46 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (776045320803079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104173879 + ... + 111374537.

It is an arithmetic number, because the mean of its divisors is an integer number (10722784831850).

Almost surely, 2^{776045320803072} is an apocalyptic number.

776045320803072 is a gapful number since it is divisible by the number (72) 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 776045320803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158060761839800).

776045320803072 is an abundant number, since it is smaller than the sum of its proper divisors (1540076202876528).

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

776045320803072 is a wasteful number, since it uses less digits than its factorization.

776045320803072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202323 (or 7202306 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 776045320803072 in words is "seven hundred seventy-six trillion, forty-five billion, three hundred twenty million, eight hundred three thousand, seventy-two".