157903680 has 224 divisors, whose sum is σ = 576437760. Its totient is φ = 36218880.

The previous prime is 157903631. The next prime is 157903687. The reversal of 157903680 is 86309751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157903687) 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, 200247 + ... + 201033.

Almost surely, 2^157903680 is an apocalyptic number.

157903680 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 157903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288218880).

157903680 is an abundant number, since it is smaller than the sum of its proper divisors (418534080).

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

157903680 is a wasteful number, since it uses less digits than its factorization.

157903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 157903680 is about 12565.9731019925. The cubic root of 157903680 is about 540.5021392323.

The spelling of 157903680 in words is "one hundred fifty-seven million, nine hundred three thousand, six hundred eighty".