127780416 has 105 divisors (see below), whose sum is σ = 381209169. Its totient is φ = 42322176.

The previous prime is 127780327. The next prime is 127780423. The reversal of 127780416 is 614087721.

The square root of 127780416 is 11304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37454400 + 90326016 = 6120^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 813810 + ... + 813966.

Almost surely, 2^127780416 is an apocalyptic number.

127780416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127780416 is the 11304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127780416

127780416 is an abundant number, since it is smaller than the sum of its proper divisors (253428753).

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

127780416 is an frugal number, since it uses more digits than its factorization.

127780416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The cubic root of 127780416 is about 503.6800690649.

Multiplying 127780416 by its sum of digits (36), we get a square (4600094976 = 67824²).

127780416 divided by its sum of digits (36) gives a square (3549456 = 1884²).

The spelling of 127780416 in words is "one hundred twenty-seven million, seven hundred eighty thousand, four hundred sixteen".