965991780 has 144 divisors (see below), whose sum is σ = 3215525040. Its totient is φ = 233266176.

The previous prime is 965991721. The next prime is 965991781. The reversal of 965991780 is 87199569.

It can be written as a sum of positive squares in 8 ways, for example, as 10810944 + 955180836 = 3288^2 + 30906^2 .

It is not an unprimeable number, because it can be changed into a prime (965991781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120126 + ... + 127914.

It is an arithmetic number, because the mean of its divisors is an integer number (22330035).

Almost surely, 2^965991780 is an apocalyptic number.

965991780 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965991780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607762520).

965991780 is an abundant number, since it is smaller than the sum of its proper divisors (2249533260).

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

965991780 is a wasteful number, since it uses less digits than its factorization.

965991780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 965991780 is about 31080.4082984764. The cubic root of 965991780 is about 988.5329357185.

The spelling of 965991780 in words is "nine hundred sixty-five million, nine hundred ninety-one thousand, seven hundred eighty".