10777040 has 40 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 4267136.

The previous prime is 10777033. The next prime is 10777061. The reversal of 10777040 is 4077701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10777040² = 232289182323200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7931 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 2^10777040 is an apocalyptic number.

10777040 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 10777040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

10777040 is an abundant number, since it is smaller than the sum of its proper divisors (14533840).

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

10777040 is a wasteful number, since it uses less digits than its factorization.

10777040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 10777040 is about 3282.8402337001. The cubic root of 10777040 is about 220.8851392243.

The spelling of 10777040 in words is "ten million, seven hundred seventy-seven thousand, forty".