768360 has 64 divisors (see below), whose sum is σ = 2433600. Its totient is φ = 193536.

The previous prime is 768359. The next prime is 768371. The reversal of 768360 is 63867.

768360 = T₃₈₇ + T₃₈₈ + ... + T₃₉₆.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 2112 + ... + 2448.

It is an arithmetic number, because the mean of its divisors is an integer number (38025).

2⁷⁶⁸³⁶⁰ 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 768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216800).

768360 is an abundant number, since it is smaller than the sum of its proper divisors (1665240).

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

768360 is a wasteful number, since it uses less digits than its factorization.

768360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 768360 is about 876.5614639031. The cubic root of 768360 is about 91.5914460971.

It can be divided in two parts, 768 and 360, that added together give a triangular number (1128 = T₄₇).

The spelling of 768360 in words is "seven hundred sixty-eight thousand, three hundred sixty".