10077726 has 32 divisors (see below), whose sum is σ = 21265920. Its totient is φ = 3177504.

The previous prime is 10077721. The next prime is 10077751. The reversal of 10077726 is 62777001.

It is a happy number.

10077726 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10077726² = 203121122662152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 10077693 and 10077702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13860 + ... + 14568.

It is an arithmetic number, because the mean of its divisors is an integer number (664560).

Almost surely, 2^10077726 is an apocalyptic number.

10077726 is an abundant number, since it is smaller than the sum of its proper divisors (11188194).

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

10077726 is a wasteful number, since it uses less digits than its factorization.

10077726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 10077726 is about 3174.5434317394. The cubic root of 10077726 is about 216.0002143345. Note that the first 3 decimals are identical.

Subtracting from 10077726 its sum of digits (30), we obtain a 9-th power (10077696 = 6⁹).

The spelling of 10077726 in words is "ten million, seventy-seven thousand, seven hundred twenty-six".