766992 has 60 divisors (see below), whose sum is σ = 2160080. Its totient is φ = 233856.

The previous prime is 766967. The next prime is 766999. The reversal of 766992 is 299667.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 766992.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766992.

It is not an unprimeable number, because it can be changed into a prime (766999) by changing a digit.

766992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26434 + ... + 26462.

2⁷⁶⁶⁹⁹² 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 766992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080040).

766992 is an abundant number, since it is smaller than the sum of its proper divisors (1393088).

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

766992 is a wasteful number, since it uses less digits than its factorization.

766992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 766992 is about 875.7807944914. The cubic root of 766992 is about 91.5370568645.

The spelling of 766992 in words is "seven hundred sixty-six thousand, nine hundred ninety-two".