10780600320 has 576 divisors, whose sum is σ = 45259119360. Its totient is φ = 2316828672.

The previous prime is 10780600307. The next prime is 10780600339. The reversal of 10780600320 is 2300608701.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10966549 + ... + 10967531.

It is an arithmetic number, because the mean of its divisors is an integer number (78574860).

Almost surely, 2^10780600320 is an apocalyptic number.

10780600320 is a gapful number since it is divisible by the number (10) 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 10780600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629559680).

10780600320 is an abundant number, since it is smaller than the sum of its proper divisors (34478519040).

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

10780600320 is a wasteful number, since it uses less digits than its factorization.

10780600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10780600320 in words is "ten billion, seven hundred eighty million, six hundred thousand, three hundred twenty".