766083192 has 128 divisors (see below), whose sum is σ = 2326579200. Its totient is φ = 205331328.

The previous prime is 766083151. The next prime is 766083193. The reversal of 766083192 is 291380667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766083193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340423 + ... + 342665.

It is an arithmetic number, because the mean of its divisors is an integer number (18176400).

Almost surely, 2^766083192 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 766083192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163289600).

766083192 is an abundant number, since it is smaller than the sum of its proper divisors (1560496008).

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

766083192 is a wasteful number, since it uses less digits than its factorization.

766083192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 766083192 is about 27678.2078899628. The cubic root of 766083192 is about 915.0088852193.

It can be divided in two parts, 76608 and 3192, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 766083192 in words is "seven hundred sixty-six million, eighty-three thousand, one hundred ninety-two".