80128000 has 96 divisors (see below), whose sum is σ = 200589480. Its totient is φ = 31948800.

The previous prime is 80127991. The next prime is 80128007. The reversal of 80128000 is 82108.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3810304 + 76317696 = 1952^2 + 8736^2 .

It is not an unprimeable number, because it can be changed into a prime (80128007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255844 + ... + 256156.

Almost surely, 2^80128000 is an apocalyptic number.

80128000 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 80128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100294740).

80128000 is an abundant number, since it is smaller than the sum of its proper divisors (120461480).

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

80128000 is an equidigital number, since it uses as much as digits as its factorization.

80128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 80128000 is about 8951.4244676476. The cubic root of 80128000 is about 431.1166219187.

It can be divided in two parts, 80 and 128000, that multiplied together give a square (10240000 = 3200²).

The spelling of 80128000 in words is "eighty million, one hundred twenty-eight thousand".