768150 has 48 divisors (see below), whose sum is σ = 2120400. Its totient is φ = 204480.

The previous prime is 768139. The next prime is 768161. The reversal of 768150 is 51867.

It is an interprime number because it is at equal distance from previous prime (768139) and next prime (768161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 768150.

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 23 ways as a sum of consecutive naturals, for example, 1066 + ... + 1634.

It is an arithmetic number, because the mean of its divisors is an integer number (44175).

2⁷⁶⁸¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060200).

768150 is an abundant number, since it is smaller than the sum of its proper divisors (1352250).

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

768150 is a wasteful number, since it uses less digits than its factorization.

768150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 768150 is about 876.4416694795. The cubic root of 768150 is about 91.5831010695.

The spelling of 768150 in words is "seven hundred sixty-eight thousand, one hundred fifty".