157730080 has 96 divisors (see below), whose sum is σ = 399095424. Its totient is φ = 58699776.

The previous prime is 157730071. The next prime is 157730081. The reversal of 157730080 is 80037751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157730081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279879 + ... + 280441.

It is an arithmetic number, because the mean of its divisors is an integer number (4157244).

Almost surely, 2^157730080 is an apocalyptic number.

157730080 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 157730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199547712).

157730080 is an abundant number, since it is smaller than the sum of its proper divisors (241365344).

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

157730080 is a wasteful number, since it uses less digits than its factorization.

157730080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 157730080 is about 12559.0636593657. The cubic root of 157730080 is about 540.3039897897.

The spelling of 157730080 in words is "one hundred fifty-seven million, seven hundred thirty thousand, eighty".