768111120 has 320 divisors, whose sum is σ = 3107658240. Its totient is φ = 170698752.

The previous prime is 768111101. The next prime is 768111137. The reversal of 768111120 is 21111867.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558754 + ... + 560126.

It is an arithmetic number, because the mean of its divisors is an integer number (9711432).

Almost surely, 2^768111120 is an apocalyptic number.

768111120 is a gapful number since it is divisible by the number (70) 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 768111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553829120).

768111120 is an abundant number, since it is smaller than the sum of its proper divisors (2339547120).

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

768111120 is a wasteful number, since it uses less digits than its factorization.

768111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 768111120 is about 27714.8176973979. The cubic root of 768111120 is about 915.8155588039.

Adding to 768111120 its reverse (21111867), we get a palindrome (789222987).

The spelling of 768111120 in words is "seven hundred sixty-eight million, one hundred eleven thousand, one hundred twenty".