157705768 has 64 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 68913600.

The previous prime is 157705663. The next prime is 157705777. The reversal of 157705768 is 867507751.

It is a super-2 number, since 2×157705768² = 49742218520939648, which contains 22 as substring.

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, 268371 + ... + 268957.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^157705768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157705768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

157705768 is an abundant number, since it is smaller than the sum of its proper divisors (177595352).

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

157705768 is a wasteful number, since it uses less digits than its factorization.

157705768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 46.

The square root of 157705768 is about 12558.0957155136. The cubic root of 157705768 is about 540.2762281318.

The spelling of 157705768 in words is "one hundred fifty-seven million, seven hundred five thousand, seven hundred sixty-eight".