768157 has 8 divisors (see below), whose sum is σ = 850136. Its totient is φ = 689472.

The previous prime is 768139. The next prime is 768161. The reversal of 768157 is 751867.

It can be written as a sum of positive squares in 4 ways, for example, as 52441 + 715716 = 229^2 + 846^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 768157 - 2⁷ = 768029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (106267).

2⁷⁶⁸¹⁵⁷ is an apocalyptic number.

It is an amenable number.

768157 is a deficient number, since it is larger than the sum of its proper divisors (81979).

768157 is a wasteful number, since it uses less digits than its factorization.

768157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647.

The product of its digits is 11760, while the sum is 34.

The square root of 768157 is about 876.4456628907. The cubic root of 768157 is about 91.5833792616.

Subtracting from 768157 its reverse (751867), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 768157 in words is "seven hundred sixty-eight thousand, one hundred fifty-seven".