10760000 has 70 divisors (see below), whose sum is σ = 26780490. Its totient is φ = 4288000.

The previous prime is 10759993. The next prime is 10760017. The reversal of 10760000 is 6701.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 7011904 + 3748096 = 2648^2 + 1936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39866 + ... + 40134.

Almost surely, 2^10760000 is an apocalyptic number.

10760000 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 10760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390245).

10760000 is an abundant number, since it is smaller than the sum of its proper divisors (16020490).

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

10760000 is an frugal number, since it uses more digits than its factorization.

10760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 10760000 is about 3280.2438933713. The cubic root of 10760000 is about 220.7686610986.

Adding to 10760000 its reverse (6701), we get a palindrome (10766701).

The spelling of 10760000 in words is "ten million, seven hundred sixty thousand".