127874880 has 168 divisors, whose sum is σ = 502749312. Its totient is φ = 29223936.

The previous prime is 127874843. The next prime is 127874881. The reversal of 127874880 is 88478721.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×127874880³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127874881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16989 + ... + 23331.

Almost surely, 2^127874880 is an apocalyptic number.

127874880 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 127874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251374656).

127874880 is an abundant number, since it is smaller than the sum of its proper divisors (374874432).

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

127874880 is a wasteful number, since it uses less digits than its factorization.

127874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 127874880 is about 11308.1775720051. The cubic root of 127874880 is about 503.8041567137.

The spelling of 127874880 in words is "one hundred twenty-seven million, eight hundred seventy-four thousand, eight hundred eighty".