768349120 has 112 divisors (see below), whose sum is σ = 2281171968. Its totient is φ = 239477760.

The previous prime is 768349093. The next prime is 768349121. The reversal of 768349120 is 21943867.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768349121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9049 + ... + 40231.

Almost surely, 2^768349120 is an apocalyptic number.

768349120 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 768349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140585984).

768349120 is an abundant number, since it is smaller than the sum of its proper divisors (1512822848).

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

768349120 is a wasteful number, since it uses less digits than its factorization.

768349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31218 (or 31208 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 768349120 is about 27719.1110968588. Note that the first 3 decimals coincide. The cubic root of 768349120 is about 915.9101378255.

The spelling of 768349120 in words is "seven hundred sixty-eight million, three hundred forty-nine thousand, one hundred twenty".