1020740800 has 84 divisors (see below), whose sum is σ = 2643931720. Its totient is φ = 386795520.

The previous prime is 1020740771. The next prime is 1020740803. The reversal of 1020740800 is 80470201.

It is not an unprimeable number, because it can be changed into a prime (1020740803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13612 + ... + 47188.

Almost surely, 2^1020740800 is an apocalyptic number.

1020740800 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 1020740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321965860).

1020740800 is an abundant number, since it is smaller than the sum of its proper divisors (1623190920).

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

1020740800 is a wasteful number, since it uses less digits than its factorization.

1020740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33618 (or 33603 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1020740800 is about 31949.0344142041. The cubic root of 1020740800 is about 1006.8663453924.

The spelling of 1020740800 in words is "one billion, twenty million, seven hundred forty thousand, eight hundred".