157880880 has 160 divisors (see below), whose sum is σ = 572582400. Its totient is φ = 39875328.

The previous prime is 157880867. The next prime is 157880881. The reversal of 157880880 is 88088751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (157880881) 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, 39117 + ... + 42963.

It is an arithmetic number, because the mean of its divisors is an integer number (3578640).

Almost surely, 2^157880880 is an apocalyptic number.

157880880 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 157880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286291200).

157880880 is an abundant number, since it is smaller than the sum of its proper divisors (414701520).

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

157880880 is a wasteful number, since it uses less digits than its factorization.

157880880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 157880880 is about 12565.0658573682. The cubic root of 157880880 is about 540.4761232839.

The spelling of 157880880 in words is "one hundred fifty-seven million, eight hundred eighty thousand, eight hundred eighty".