10780672 has 64 divisors (see below), whose sum is σ = 25165440. Its totient is φ = 4521984.

The previous prime is 10780661. The next prime is 10780673. The reversal of 10780672 is 27608701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10780673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229353 + ... + 229399.

It is an arithmetic number, because the mean of its divisors is an integer number (393210).

Almost surely, 2^10780672 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 10780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582720).

10780672 is an abundant number, since it is smaller than the sum of its proper divisors (14384768).

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

10780672 is an frugal number, since it uses more digits than its factorization.

10780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 10780672 is about 3283.3933666254. The cubic root of 10780672 is about 220.9099501408.

The spelling of 10780672 in words is "ten million, seven hundred eighty thousand, six hundred seventy-two".