766252115856 has 120 divisors (see below), whose sum is σ = 2180143535544. Its totient is φ = 251167150080.

The previous prime is 766252115831. The next prime is 766252115857. The reversal of 766252115856 is 658511252667.

766252115856 is a `hidden beast` number, since 7 + 6 + 6 + 2 + 52 + 1 + 1 + 585 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 280916960256 + 485335155600 = 530016^2 + 696660^2 .

It is a super-2 number, since 2×766252115856² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (766252115857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45993480 + ... + 46010136.

Almost surely, 2^766252115856 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 766252115856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090071767772).

766252115856 is an abundant number, since it is smaller than the sum of its proper divisors (1413891419688).

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

766252115856 is a wasteful number, since it uses less digits than its factorization.

766252115856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21969 (or 21960 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 766252115856 in words is "seven hundred sixty-six billion, two hundred fifty-two million, one hundred fifteen thousand, eight hundred fifty-six".