1020876480 has 448 divisors, whose sum is σ = 3968496000. Its totient is φ = 245514240.

The previous prime is 1020876463. The next prime is 1020876481. The reversal of 1020876480 is 846780201.

1020876480 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 8 + 7 + 648 + 0 = 666.

1020876480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020876481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6851446 + ... + 6851594.

It is an arithmetic number, because the mean of its divisors is an integer number (8858250).

Almost surely, 2^1020876480 is an apocalyptic number.

1020876480 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 1020876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984248000).

1020876480 is an abundant number, since it is smaller than the sum of its proper divisors (2947619520).

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

1020876480 is a wasteful number, since it uses less digits than its factorization.

1020876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1020876480 is about 31951.1577255035. The cubic root of 1020876480 is about 1006.9109553376.

The spelling of 1020876480 in words is "one billion, twenty million, eight hundred seventy-six thousand, four hundred eighty".