776765052 has 216 divisors, whose sum is σ = 2426022144. Its totient is φ = 216584928.

The previous prime is 776765027. The next prime is 776765083. The reversal of 776765052 is 250567677.

776765052 is a `hidden beast` number, since 7 + 76 + 76 + 505 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 776764989 and 776765007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2238343 + ... + 2238689.

It is an arithmetic number, because the mean of its divisors is an integer number (11231584).

Almost surely, 2^776765052 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 776765052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213011072).

776765052 is an abundant number, since it is smaller than the sum of its proper divisors (1649257092).

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

776765052 is a wasteful number, since it uses less digits than its factorization.

776765052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The square root of 776765052 is about 27870.5050546272. The cubic root of 776765052 is about 919.2420710997.

It can be divided in two parts, 77676 and 5052, that added together give a palindrome (82728).

The spelling of 776765052 in words is "seven hundred seventy-six million, seven hundred sixty-five thousand, fifty-two".