157760 has 56 divisors (see below), whose sum is σ = 411480. Its totient is φ = 57344.

The previous prime is 157747. The next prime is 157769. The reversal of 157760 is 67751.

157760 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 123904 = 184^2 + 352^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5426 + ... + 5454.

2¹⁵⁷⁷⁶⁰ is an apocalyptic number.

157760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205740).

157760 is an abundant number, since it is smaller than the sum of its proper divisors (253720).

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

157760 is a wasteful number, since it uses less digits than its factorization.

157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 157760 is about 397.1901307938. The cubic root of 157760 is about 54.0338151258.

Subtracting from 157760 its reverse (67751), we obtain a palindrome (90009).

The spelling of 157760 in words is "one hundred fifty-seven thousand, seven hundred sixty".