967945000780 has 96 divisors (see below), whose sum is σ = 2133300032640. Its totient is φ = 368405237760.

The previous prime is 967945000753. The next prime is 967945000801. The reversal of 967945000780 is 87000549769.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156192642 + ... + 156198838.

It is an arithmetic number, because the mean of its divisors is an integer number (22221875340).

Almost surely, 2^967945000780 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 967945000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066650016320).

967945000780 is an abundant number, since it is smaller than the sum of its proper divisors (1165355031860).

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

967945000780 is a wasteful number, since it uses less digits than its factorization.

967945000780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10099 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 967945000780 in words is "nine hundred sixty-seven billion, nine hundred forty-five million, seven hundred eighty", and thus it is an aban number.