766612 has 48 divisors (see below), whose sum is σ = 1774080. Its totient is φ = 280800.

The previous prime is 766609. The next prime is 766637. The reversal of 766612 is 216667.

766612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) 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 (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5787 + ... + 5917.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2⁷⁶⁶⁶¹² 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 766612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887040).

766612 is an abundant number, since it is smaller than the sum of its proper divisors (1007468).

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

766612 is a wasteful number, since it uses less digits than its factorization.

766612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 766612 is about 875.5638183479. The cubic root of 766612 is about 91.5219372685.

Subtracting from 766612 its reverse (216667), we obtain a palindrome (549945).

It can be divided in two parts, 766 and 612, that added together give a triangular number (1378 = T₅₂).

The spelling of 766612 in words is "seven hundred sixty-six thousand, six hundred twelve".