765006776212 has 144 divisors (see below), whose sum is σ = 1603166672016. Its totient is φ = 318366720000.

The previous prime is 765006776153. The next prime is 765006776249. The reversal of 765006776212 is 212677600567.

765006776212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3150127876 + 761856648336 = 56126^2 + 872844^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812971662 + ... + 812972602.

It is an arithmetic number, because the mean of its divisors is an integer number (11133101889).

Almost surely, 2^765006776212 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 765006776212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801583336008).

765006776212 is an abundant number, since it is smaller than the sum of its proper divisors (838159895804).

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

765006776212 is a wasteful number, since it uses less digits than its factorization.

765006776212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 765006776212 in words is "seven hundred sixty-five billion, six million, seven hundred seventy-six thousand, two hundred twelve".