768741120 has 216 divisors, whose sum is σ = 3040049376. Its totient is φ = 175693824.

The previous prime is 768741107. The next prime is 768741137. The reversal of 768741120 is 21147867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75874 + ... + 85406.

Almost surely, 2^768741120 is an apocalyptic number.

768741120 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 768741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520024688).

768741120 is an abundant number, since it is smaller than the sum of its proper divisors (2271308256).

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

768741120 is a wasteful number, since it uses less digits than its factorization.

768741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9567 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 768741120 is about 27726.1811290340. The cubic root of 768741120 is about 916.0658724708.

Adding to 768741120 its reverse (21147867), we get a palindrome (789888987).

The spelling of 768741120 in words is "seven hundred sixty-eight million, seven hundred forty-one thousand, one hundred twenty".