1076865000 has 320 divisors, whose sum is σ = 3684320640. Its totient is φ = 261120000.

The previous prime is 1076864963. The next prime is 1076865007. The reversal of 1076865000 is 5686701.

It is not an unprimeable number, because it can be changed into a prime (1076865007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10454949 + ... + 10455051.

It is an arithmetic number, because the mean of its divisors is an integer number (11513502).

Almost surely, 2^1076865000 is an apocalyptic number.

1076865000 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 1076865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842160320).

1076865000 is an abundant number, since it is smaller than the sum of its proper divisors (2607455640).

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

1076865000 is a wasteful number, since it uses less digits than its factorization.

1076865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1076865000 is about 32815.6212801160. The cubic root of 1076865000 is about 1024.9918698542.

The spelling of 1076865000 in words is "one billion, seventy-six million, eight hundred sixty-five thousand".