127792080 has 400 divisors, whose sum is σ = 502874064. Its totient is φ = 29859840.

The previous prime is 127792061. The next prime is 127792109. The reversal of 127792080 is 80297721.

It can be written as a sum of positive squares in 8 ways, for example, as 12702096 + 115089984 = 3564^2 + 10728^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3116860 + ... + 3116900.

Almost surely, 2^127792080 is an apocalyptic number.

127792080 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 127792080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251437032).

127792080 is an abundant number, since it is smaller than the sum of its proper divisors (375081984).

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

127792080 is a wasteful number, since it uses less digits than its factorization.

127792080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 127792080 is about 11304.5159117938. The cubic root of 127792080 is about 503.6953941717.

127792080 divided by its sum of digits (36) gives a triangular number (3549780 = T₂₆₆₄).

The spelling of 127792080 in words is "one hundred twenty-seven million, seven hundred ninety-two thousand, eighty".