760368 has 80 divisors (see below), whose sum is σ = 2349056. Its totient is φ = 207360.

The previous prime is 760367. The next prime is 760373. The reversal of 760368 is 863067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10380 + ... + 10452.

2⁷⁶⁰³⁶⁸ 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 760368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174528).

760368 is an abundant number, since it is smaller than the sum of its proper divisors (1588688).

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

760368 is a wasteful number, since it uses less digits than its factorization.

760368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

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

The square root of 760368 is about 871.9908256398. The cubic root of 760368 is about 91.2727797009.

It can be divided in two parts, 760 and 368, that added together give a triangular number (1128 = T₄₇).

The spelling of 760368 in words is "seven hundred sixty thousand, three hundred sixty-eight".