80127840 has 96 divisors (see below), whose sum is σ = 271839456. Its totient is φ = 19722240.

The previous prime is 80127833. The next prime is 80127847. The reversal of 80127840 is 4872108.

It is an interprime number because it is at equal distance from previous prime (80127833) and next prime (80127847).

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 80127798 and 80127807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80127847) 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, 181 + ... + 12660.

It is an arithmetic number, because the mean of its divisors is an integer number (2831661).

Almost surely, 2^80127840 is an apocalyptic number.

80127840 is a gapful number since it is divisible by the number (80) 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 80127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135919728).

80127840 is an abundant number, since it is smaller than the sum of its proper divisors (191711616).

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

80127840 is a wasteful number, since it uses less digits than its factorization.

80127840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12872 (or 12864 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 80127840 is about 8951.4155305181. The cubic root of 80127840 is about 431.1163349666.

Adding to 80127840 its reverse (4872108), we get a palindrome (84999948).

The spelling of 80127840 in words is "eighty million, one hundred twenty-seven thousand, eight hundred forty".