157877280 has 144 divisors (see below), whose sum is σ = 587793024. Its totient is φ = 38269440.

The previous prime is 157877273. The next prime is 157877299. The reversal of 157877280 is 82778751.

157877280 is a `hidden beast` number, since 1 + 578 + 7 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10857 + ... + 20823.

It is an arithmetic number, because the mean of its divisors is an integer number (4081896).

Almost surely, 2^157877280 is an apocalyptic number.

157877280 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 157877280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293896512).

157877280 is an abundant number, since it is smaller than the sum of its proper divisors (429915744).

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

157877280 is a wasteful number, since it uses less digits than its factorization.

157877280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9999 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 157877280 is about 12564.9226022288. The cubic root of 157877280 is about 540.4720152737.

The spelling of 157877280 in words is "one hundred fifty-seven million, eight hundred seventy-seven thousand, two hundred eighty".