157680 has 80 divisors (see below), whose sum is σ = 550560. Its totient is φ = 41472.

The previous prime is 157679. The next prime is 157721. The reversal of 157680 is 86751.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a nialpdrome in base 12.

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 15 ways as a sum of consecutive naturals, for example, 2124 + ... + 2196.

It is an arithmetic number, because the mean of its divisors is an integer number (6882).

2¹⁵⁷⁶⁸⁰ is an apocalyptic number.

157680 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 157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275280).

157680 is an abundant number, since it is smaller than the sum of its proper divisors (392880).

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

157680 is a wasteful number, since it uses less digits than its factorization.

157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

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

The square root of 157680 is about 397.0894105866. The cubic root of 157680 is about 54.0246800766.

The spelling of 157680 in words is "one hundred fifty-seven thousand, six hundred eighty".