766900 has 18 divisors (see below), whose sum is σ = 1664390. Its totient is φ = 306720.

The previous prime is 766891. The next prime is 766901. The reversal of 766900 is 9667.

It can be written as a sum of positive squares in 3 ways, for example, as 195364 + 571536 = 442^2 + 756^2 .

It is a super-2 number, since 2×766900² = 1176271220000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766901) by changing a digit.

766900 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 5 ways as a sum of consecutive naturals, for example, 3735 + ... + 3934.

2⁷⁶⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

766900 is an abundant number, since it is smaller than the sum of its proper divisors (897490).

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

766900 is a wasteful number, since it uses less digits than its factorization.

766900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 766900 is about 875.7282683573. The cubic root of 766900 is about 91.5333967890.

The spelling of 766900 in words is "seven hundred sixty-six thousand, nine hundred".