1024770000 has 100 divisors (see below), whose sum is σ = 3308191040. Its totient is φ = 273264000.

The previous prime is 1024769981. The next prime is 1024770011. The reversal of 1024770000 is 774201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12921 + ... + 47079.

Almost surely, 2^1024770000 is an apocalyptic number.

1024770000 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 1024770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654095520).

1024770000 is an abundant number, since it is smaller than the sum of its proper divisors (2283421040).

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

1024770000 is an equidigital number, since it uses as much as digits as its factorization.

1024770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34190 (or 34169 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 1024770000 is about 32012.0289891160. The cubic root of 1024770000 is about 1008.1894170366.

The spelling of 1024770000 in words is "one billion, twenty-four million, seven hundred seventy thousand".