1082730880 has 256 divisors, whose sum is σ = 3271311360. Its totient is φ = 332881920.

The previous prime is 1082730871. The next prime is 1082730881. The reversal of 1082730880 is 880372801.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082730881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6258474 + ... + 6258646.

It is an arithmetic number, because the mean of its divisors is an integer number (12778560).

Almost surely, 2^1082730880 is an apocalyptic number.

1082730880 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 1082730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635655680).

1082730880 is an abundant number, since it is smaller than the sum of its proper divisors (2188580480).

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

1082730880 is a wasteful number, since it uses less digits than its factorization.

1082730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 1082730880 is about 32904.8762343820. The cubic root of 1082730880 is about 1026.8496066499.

The spelling of 1082730880 in words is "one billion, eighty-two million, seven hundred thirty thousand, eight hundred eighty".