966780 has 72 divisors (see below), whose sum is σ = 3027024. Its totient is φ = 249600.

The previous prime is 966751. The next prime is 966781. The reversal of 966780 is 87669.

966780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966781) by changing a digit.

966780 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 23 ways as a sum of consecutive naturals, for example, 7315 + ... + 7445.

It is an arithmetic number, because the mean of its divisors is an integer number (42042).

2⁹⁶⁶⁷⁸⁰ is an apocalyptic number.

966780 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

966780 is the 492-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513512).

966780 is an abundant number, since it is smaller than the sum of its proper divisors (2060244).

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

966780 is a wasteful number, since it uses less digits than its factorization.

966780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 966780 is about 983.2497139588. The cubic root of 966780 is about 98.8801733588.

The spelling of 966780 in words is "nine hundred sixty-six thousand, seven hundred eighty".