1010800320 has 112 divisors (see below), whose sum is σ = 3348898560. Its totient is φ = 257821696.

The previous prime is 1010800313. The next prime is 1010800333. The reversal of 1010800320 is 230080101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010800320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810 + ... + 44969.

It is an arithmetic number, because the mean of its divisors is an integer number (29900880).

Almost surely, 2^1010800320 is an apocalyptic number.

1010800320 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 1010800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674449280).

1010800320 is an abundant number, since it is smaller than the sum of its proper divisors (2338098240).

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

1010800320 is a wasteful number, since it uses less digits than its factorization.

1010800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45822 (or 45812 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1010800320 is about 31793.0860408360. The cubic root of 1010800320 is about 1003.5872231100.

Adding to 1010800320 its reverse (230080101), we get a palindrome (1240880421).

The spelling of 1010800320 in words is "one billion, ten million, eight hundred thousand, three hundred twenty".