157800240 has 240 divisors, whose sum is σ = 596336832. Its totient is φ = 37103616.

The previous prime is 157800233. The next prime is 157800241. The reversal of 157800240 is 42008751.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (157800241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214914 + ... + 215646.

Almost surely, 2^157800240 is an apocalyptic number.

157800240 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 157800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298168416).

157800240 is an abundant number, since it is smaller than the sum of its proper divisors (438536592).

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

157800240 is a wasteful number, since it uses less digits than its factorization.

157800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 157800240 is about 12561.8565506855. The cubic root of 157800240 is about 540.3840888821.

Adding to 157800240 its reverse (42008751), we get a palindrome (199808991).

The spelling of 157800240 in words is "one hundred fifty-seven million, eight hundred thousand, two hundred forty".