127761040 has 80 divisors (see below), whose sum is σ = 331050240. Its totient is φ = 45455360.

The previous prime is 127760957. The next prime is 127761047. The reversal of 127761040 is 40167721.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (127761047) 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, 39816 + ... + 42904.

It is an arithmetic number, because the mean of its divisors is an integer number (4138128).

Almost surely, 2^127761040 is an apocalyptic number.

127761040 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 127761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165525120).

127761040 is an abundant number, since it is smaller than the sum of its proper divisors (203289200).

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

127761040 is a wasteful number, since it uses less digits than its factorization.

127761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 127761040 is about 11303.1429257530. The cubic root of 127761040 is about 503.6546092471.

It can be divided in two parts, 127 and 761040, that added together give a palindrome (761167).

The spelling of 127761040 in words is "one hundred twenty-seven million, seven hundred sixty-one thousand, forty".