768690 has 80 divisors (see below), whose sum is σ = 2256408. Its totient is φ = 186624.

The previous prime is 768671. The next prime is 768727. The reversal of 768690 is 96867.

It can be written as a sum of positive squares in 4 ways, for example, as 505521 + 263169 = 711^2 + 513^2 .

It is a super-2 number, since 2×768690² = 1181768632200, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10494 + ... + 10566.

2⁷⁶⁸⁶⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128204).

768690 is an abundant number, since it is smaller than the sum of its proper divisors (1487718).

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

768690 is a wasteful number, since it uses less digits than its factorization.

768690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 768690 is about 876.7496792129. The cubic root of 768690 is about 91.6045566404.

It can be divided in two parts, 7686 and 90, that added together give a 5-th power (7776 = 6⁵).

The spelling of 768690 in words is "seven hundred sixty-eight thousand, six hundred ninety".