157807 has 8 divisors (see below), whose sum is σ = 173600. Its totient is φ = 142560.

The previous prime is 157799. The next prime is 157813. The reversal of 157807 is 708751.

It is a happy number.

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 157807 - 2³ = 157799 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157837) 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, 694 + ... + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (21700).

2¹⁵⁷⁸⁰⁷ is an apocalyptic number.

157807 is the 199-th decagonal number.

157807 is a deficient number, since it is larger than the sum of its proper divisors (15793).

157807 is a wasteful number, since it uses less digits than its factorization.

157807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273.

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 157807 is about 397.2492920069. The cubic root of 157807 is about 54.0391805271.

The spelling of 157807 in words is "one hundred fifty-seven thousand, eight hundred seven".