1004200080 has 160 divisors (see below), whose sum is σ = 3365451264. Its totient is φ = 246233088.

The previous prime is 1004200061. The next prime is 1004200097. The reversal of 1004200080 is 800024001.

1004200080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144602 + ... + 1145478.

Almost surely, 2^1004200080 is an apocalyptic number.

1004200080 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 1004200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682725632).

1004200080 is an abundant number, since it is smaller than the sum of its proper divisors (2361251184).

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

1004200080 is a wasteful number, since it uses less digits than its factorization.

1004200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1004200080 is about 31689.1161126340. The cubic root of 1004200080 is about 1001.3980711528.

Adding to 1004200080 its reverse (800024001), we get a palindrome (1804224081).

The spelling of 1004200080 in words is "one billion, four million, two hundred thousand, eighty".