10777488 has 40 divisors (see below), whose sum is σ = 28102368. Its totient is φ = 3558912.

The previous prime is 10777483. The next prime is 10777493. The reversal of 10777488 is 88477701.

It is an interprime number because it is at equal distance from previous prime (10777483) and next prime (10777493).

It is not an unprimeable number, because it can be changed into a prime (10777483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4431 + ... + 6417.

Almost surely, 2^10777488 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 10777488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14051184).

10777488 is an abundant number, since it is smaller than the sum of its proper divisors (17324880).

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

10777488 is a wasteful number, since it uses less digits than its factorization.

10777488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The square root of 10777488 is about 3282.9084665887. The cubic root of 10777488 is about 220.8881999030. Note that the first 3 decimals are identical.

The spelling of 10777488 in words is "ten million, seven hundred seventy-seven thousand, four hundred eighty-eight".