960789340800 has 1536 divisors, whose sum is σ = 3823298150400. Its totient is φ = 237967994880.

The previous prime is 960789340781. The next prime is 960789340807. The reversal of 960789340800 is 8043987069.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960789340807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7565270337 + ... + 7565270463.

It is an arithmetic number, because the mean of its divisors is an integer number (2489126400).

Almost surely, 2^960789340800 is an apocalyptic number.

960789340800 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 960789340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911649075200).

960789340800 is an abundant number, since it is smaller than the sum of its proper divisors (2862508809600).

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

960789340800 is a wasteful number, since it uses less digits than its factorization.

960789340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 960789340800 in words is "nine hundred sixty billion, seven hundred eighty-nine million, three hundred forty thousand, eight hundred".