1075680000 has 450 divisors, whose sum is σ = 4056360924. Its totient is φ = 283392000.

The previous prime is 1075679989. The next prime is 1075680013. The reversal of 1075680000 is 865701.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959959 + ... + 12960041.

Almost surely, 2^1075680000 is an apocalyptic number.

1075680000 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 1075680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028180462).

1075680000 is an abundant number, since it is smaller than the sum of its proper divisors (2980680924).

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

1075680000 is an frugal number, since it uses more digits than its factorization.

1075680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1075680000 is about 32797.5608849195. The cubic root of 1075680000 is about 1024.6157592102.

The spelling of 1075680000 in words is "one billion, seventy-five million, six hundred eighty thousand".