127303680 has 256 divisors, whose sum is σ = 478143360. Its totient is φ = 28311552.

The previous prime is 127303669. The next prime is 127303697. The reversal of 127303680 is 86303721.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440622 + ... + 3440658.

Almost surely, 2^127303680 is an apocalyptic number.

127303680 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 127303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239071680).

127303680 is an abundant number, since it is smaller than the sum of its proper divisors (350839680).

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

127303680 is an frugal number, since it uses more digits than its factorization.

127303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 127303680 is about 11282.8932459720. The cubic root of 127303680 is about 503.0528950589.

The spelling of 127303680 in words is "one hundred twenty-seven million, three hundred three thousand, six hundred eighty".