1020780000 has 360 divisors, whose sum is σ = 3730374648. Its totient is φ = 264576000.

The previous prime is 1020779987. The next prime is 1020780017. The reversal of 1020780000 is 870201.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9539947 + ... + 9540053.

Almost surely, 2^1020780000 is an apocalyptic number.

1020780000 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 1020780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865187324).

1020780000 is an abundant number, since it is smaller than the sum of its proper divisors (2709594648).

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

1020780000 is a wasteful number, since it uses less digits than its factorization.

1020780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1020780000 is about 31949.6478853837. The cubic root of 1020780000 is about 1006.8792342850.

The spelling of 1020780000 in words is "one billion, twenty million, seven hundred eighty thousand".