768840 has 64 divisors (see below), whose sum is σ = 2376000. Its totient is φ = 198912.

The previous prime is 768811. The next prime is 768841. The reversal of 768840 is 48867.

It is a super-2 number, since 2×768840² = 1182229891200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (768841) 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, 5086 + ... + 5234.

It is an arithmetic number, because the mean of its divisors is an integer number (37125).

2⁷⁶⁸⁸⁴⁰ 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 768840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188000).

768840 is an abundant number, since it is smaller than the sum of its proper divisors (1607160).

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

768840 is a wasteful number, since it uses less digits than its factorization.

768840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 768840 is about 876.8352182708. The cubic root of 768840 is about 91.6105147379.

The spelling of 768840 in words is "seven hundred sixty-eight thousand, eight hundred forty".