1000080400 has 120 divisors (see below), whose sum is σ = 2692399104. Its totient is φ = 353779200.

The previous prime is 1000080337. The next prime is 1000080407. The reversal of 1000080400 is 40800001.

1000080400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1000080407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159729 + ... + 165871.

Almost surely, 2^1000080400 is an apocalyptic number.

1000080400 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 1000080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346199552).

1000080400 is an abundant number, since it is smaller than the sum of its proper divisors (1692318704).

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

1000080400 is a wasteful number, since it uses less digits than its factorization.

1000080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1000080400 is about 31624.0478117524. The cubic root of 1000080400 is about 1000.0267992818.

Adding to 1000080400 its reverse (40800001), we get a palindrome (1040880401).

The spelling of 1000080400 in words is "one billion, eighty thousand, four hundred".