1075002880 has 160 divisors (see below), whose sum is σ = 2969809920. Its totient is φ = 365568000.

The previous prime is 1075002823. The next prime is 1075002961. The reversal of 1075002880 is 882005701.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4282755 + ... + 4283005.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2^1075002880 is an apocalyptic number.

1075002880 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 1075002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

1075002880 is an abundant number, since it is smaller than the sum of its proper divisors (1894807040).

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

1075002880 is an equidigital number, since it uses as much as digits as its factorization.

1075002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 1075002880 is about 32787.2365410688. The cubic root of 1075002880 is about 1024.4007220712.

The spelling of 1075002880 in words is "one billion, seventy-five million, two thousand, eight hundred eighty".