10780416 has 54 divisors (see below), whose sum is σ = 31089240. Its totient is φ = 3592704.

The previous prime is 10780403. The next prime is 10780433. The reversal of 10780416 is 61408701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10780416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36 + ... + 4643.

Almost surely, 2^10780416 is an apocalyptic number.

10780416 is a gapful number since it is divisible by the number (16) 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 10780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544620).

10780416 is an abundant number, since it is smaller than the sum of its proper divisors (20308824).

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

10780416 is an equidigital number, since it uses as much as digits as its factorization.

10780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10780416 is about 3283.3543823352. The cubic root of 10780416 is about 220.9082015363.

The spelling of 10780416 in words is "ten million, seven hundred eighty thousand, four hundred sixteen".