1034800880 has 80 divisors (see below), whose sum is σ = 2601797760. Its totient is φ = 381259776.

The previous prime is 1034800873. The next prime is 1034800883. The reversal of 1034800880 is 880084301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1034800880² = 2141625722497548800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034800883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55826 + ... + 72014.

It is an arithmetic number, because the mean of its divisors is an integer number (32522472).

Almost surely, 2^1034800880 is an apocalyptic number.

1034800880 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 1034800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300898880).

1034800880 is an abundant number, since it is smaller than the sum of its proper divisors (1566996880).

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

1034800880 is a wasteful number, since it uses less digits than its factorization.

1034800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16266 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1034800880 is about 32168.3210628096. The cubic root of 1034800880 is about 1011.4682693577.

The spelling of 1034800880 in words is "one billion, thirty-four million, eight hundred thousand, eight hundred eighty".