127707880 has 64 divisors (see below), whose sum is σ = 300834000. Its totient is φ = 48728064.

The previous prime is 127707871. The next prime is 127707889. The reversal of 127707880 is 88707721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127707871) and next prime (127707889).

It can be written as a sum of positive squares in 8 ways, for example, as 52330756 + 75377124 = 7234^2 + 8682^2 .

It is a super-2 number, since 2×127707880² = 32618605228188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (127707889) 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, 102622 + ... + 103858.

Almost surely, 2^127707880 is an apocalyptic number.

127707880 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 127707880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150417000).

127707880 is an abundant number, since it is smaller than the sum of its proper divisors (173126120).

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

127707880 is a wasteful number, since it uses less digits than its factorization.

127707880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 40.

The square root of 127707880 is about 11300.7911227489. The cubic root of 127707880 is about 503.5847444605.

The spelling of 127707880 in words is "one hundred twenty-seven million, seven hundred seven thousand, eight hundred eighty".