80390144 has 48 divisors (see below), whose sum is σ = 170270100. Its totient is φ = 37814272.

The previous prime is 80390143. The next prime is 80390147. The reversal of 80390144 is 44109308.

It can be written as a sum of positive squares in 2 ways, for example, as 71910400 + 8479744 = 8480^2 + 2912^2 .

It is not an unprimeable number, because it can be changed into a prime (80390143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33662 + ... + 35970.

Almost surely, 2^80390144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85135050).

80390144 is an abundant number, since it is smaller than the sum of its proper divisors (89879956).

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

80390144 is a wasteful number, since it uses less digits than its factorization.

80390144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 80390144 is about 8966.0550968639. The cubic root of 80390144 is about 431.5862522366.

The spelling of 80390144 in words is "eighty million, three hundred ninety thousand, one hundred forty-four".