127763040 has 96 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 33857024.

The previous prime is 127763023. The next prime is 127763047. The reversal of 127763040 is 40367721.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 127762989 and 127763007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127763047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85177 + ... + 86663.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^127763040 is an apocalyptic number.

127763040 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 127763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

127763040 is an abundant number, since it is smaller than the sum of its proper divisors (277211040).

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

127763040 is a wasteful number, since it uses less digits than its factorization.

127763040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 127763040 is about 11303.2313963751. The cubic root of 127763040 is about 503.6572373408.

The spelling of 127763040 in words is "one hundred twenty-seven million, seven hundred sixty-three thousand, forty".