10777088 has 80 divisors (see below), whose sum is σ = 25665024. Its totient is φ = 4423680.

The previous prime is 10777069. The next prime is 10777097. The reversal of 10777088 is 88077701.

It is a super-2 number, since 2×10777088² = 232291251519488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111056 + ... + 111152.

Almost surely, 2^10777088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832512).

10777088 is an abundant number, since it is smaller than the sum of its proper divisors (14887936).

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

10777088 is an frugal number, since it uses more digits than its factorization.

10777088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 38.

The square root of 10777088 is about 3282.8475444346. The cubic root of 10777088 is about 220.8854671582.

The spelling of 10777088 in words is "ten million, seven hundred seventy-seven thousand, eighty-eight".