157782760 has 128 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 56995840.

The previous prime is 157782743. The next prime is 157782761. The reversal of 157782760 is 67287751.

157782760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (157782761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772796 + ... + 1772884.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^157782760 is an apocalyptic number.

157782760 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 157782760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

157782760 is an abundant number, since it is smaller than the sum of its proper divisors (234127640).

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

157782760 is a wasteful number, since it uses less digits than its factorization.

157782760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 43.

The square root of 157782760 is about 12561.1607743871. The cubic root of 157782760 is about 540.3641348299.

The spelling of 157782760 in words is "one hundred fifty-seven million, seven hundred eighty-two thousand, seven hundred sixty".