157407768 has 192 divisors, whose sum is σ = 523560960. Its totient is φ = 41741568.

The previous prime is 157407763. The next prime is 157407769. The reversal of 157407768 is 867704751.

157407768 is a `hidden beast` number, since 1 + 574 + 0 + 7 + 76 + 8 = 666.

157407768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157407763) 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, 428721 + ... + 429087.

It is an arithmetic number, because the mean of its divisors is an integer number (2726880).

Almost surely, 2^157407768 is an apocalyptic number.

157407768 is a gapful number since it is divisible by the number (18) 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 157407768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261780480).

157407768 is an abundant number, since it is smaller than the sum of its proper divisors (366153192).

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

157407768 is a wasteful number, since it uses less digits than its factorization.

157407768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 157407768 is about 12546.2252490540. The cubic root of 157407768 is about 539.9357125114.

The spelling of 157407768 in words is "one hundred fifty-seven million, four hundred seven thousand, seven hundred sixty-eight".