10780448 has 96 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 4091904.

The previous prime is 10780447. The next prime is 10780453. The reversal of 10780448 is 84408701.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10780447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72278 + ... + 72426.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^10780448 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 10780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

10780448 is an abundant number, since it is smaller than the sum of its proper divisors (16435552).

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

10780448 is a wasteful number, since it uses less digits than its factorization.

10780448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 10780448 is about 3283.3592553968. The cubic root of 10780448 is about 220.9084201134.

The spelling of 10780448 in words is "ten million, seven hundred eighty thousand, four hundred forty-eight".