768120 has 64 divisors (see below), whose sum is σ = 2380320. Its totient is φ = 198144.

The previous prime is 768107. The next prime is 768127. The reversal of 768120 is 21867.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4354 + ... + 4526.

2⁷⁶⁸¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190160).

768120 is an abundant number, since it is smaller than the sum of its proper divisors (1612200).

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

768120 is a wasteful number, since it uses less digits than its factorization.

768120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 768120 is about 876.4245546537. The cubic root of 768120 is about 91.5819087985.

Adding to 768120 its reverse (21867), we get a palindrome (789987).

It can be divided in two parts, 768 and 120, that added together give a palindrome (888).

The spelling of 768120 in words is "seven hundred sixty-eight thousand, one hundred twenty".