10075776 has 64 divisors (see below), whose sum is σ = 28192800. Its totient is φ = 3179520.

The previous prime is 10075763. The next prime is 10075787. The reversal of 10075776 is 67757001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6606 + ... + 7986.

Almost surely, 2^10075776 is an apocalyptic number.

10075776 is a gapful number since it is divisible by the number (16) 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 10075776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14096400).

10075776 is an abundant number, since it is smaller than the sum of its proper divisors (18117024).

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

10075776 is a wasteful number, since it uses less digits than its factorization.

10075776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 10075776 is about 3174.2362861010. The cubic root of 10075776 is about 215.9862817076.

The spelling of 10075776 in words is "ten million, seventy-five thousand, seven hundred seventy-six".