768516 has 36 divisors (see below), whose sum is σ = 2087568. Its totient is φ = 219408.

The previous prime is 768503. The next prime is 768541. The reversal of 768516 is 615867.

768516 = T₇₃ + T₇₄ + ... + T₁₇₀.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 768516.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (57988).

2⁷⁶⁸⁵¹⁶ 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 768516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043784).

768516 is an abundant number, since it is smaller than the sum of its proper divisors (1319052).

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

768516 is a wasteful number, since it uses less digits than its factorization.

768516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1319 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 768516 is about 876.6504434494. The cubic root of 768516 is about 91.5976442762.

The spelling of 768516 in words is "seven hundred sixty-eight thousand, five hundred sixteen".