157768480 has 24 divisors (see below), whose sum is σ = 372728412. Its totient is φ = 63107328.

The previous prime is 157768447. The next prime is 157768489. The reversal of 157768480 is 84867751.

157768480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 142181776 + 15586704 = 11924^2 + 3948^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 157768480.

It is not an unprimeable number, because it can be changed into a prime (157768489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 492867 + ... + 493186.

Almost surely, 2^157768480 is an apocalyptic number.

157768480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157768480 is an abundant number, since it is smaller than the sum of its proper divisors (214959932).

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

157768480 is an equidigital number, since it uses as much as digits as its factorization.

157768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986068 (or 986060 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 157768480 is about 12560.5923427201. The cubic root of 157768480 is about 540.3478325996.

The spelling of 157768480 in words is "one hundred fifty-seven million, seven hundred sixty-eight thousand, four hundred eighty".