10777140 has 72 divisors (see below), whose sum is σ = 35669088. Its totient is φ = 2612160.

The previous prime is 10777127. The next prime is 10777141. The reversal of 10777140 is 4177701.

It is a super-2 number, since 2×10777140² = 232293493159200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10777141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742 + ... + 4701.

It is an arithmetic number, because the mean of its divisors is an integer number (495404).

Almost surely, 2^10777140 is an apocalyptic number.

10777140 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 10777140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17834544).

10777140 is an abundant number, since it is smaller than the sum of its proper divisors (24891948).

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

10777140 is a wasteful number, since it uses less digits than its factorization.

10777140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 10777140 is about 3282.8554643785. The cubic root of 10777140 is about 220.8858224188.

The spelling of 10777140 in words is "ten million, seven hundred seventy-seven thousand, one hundred forty".