766140 has 36 divisors (see below), whose sum is σ = 2164344. Its totient is φ = 202496.

The previous prime is 766127. The next prime is 766163. The reversal of 766140 is 41667.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 766140.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6724 + ... + 6836.

2⁷⁶⁶¹⁴⁰ 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 766140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082172).

766140 is an abundant number, since it is smaller than the sum of its proper divisors (1398204).

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

766140 is a wasteful number, since it uses less digits than its factorization.

766140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 766140 is about 875.2942362429. The cubic root of 766140 is about 91.5031501797.

It can be divided in two parts, 76 and 6140, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 766140 in words is "seven hundred sixty-six thousand, one hundred forty".