10780704 has 144 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 3148800.

The previous prime is 10780699. The next prime is 10780709. The reversal of 10780704 is 40708701.

It is an interprime number because it is at equal distance from previous prime (10780699) and next prime (10780709).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10780709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129847 + ... + 129929.

It is an arithmetic number, because the mean of its divisors is an integer number (240786).

Almost surely, 2^10780704 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 10780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

10780704 is an abundant number, since it is smaller than the sum of its proper divisors (23892480).

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

10780704 is a wasteful number, since it uses less digits than its factorization.

10780704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10780704 is about 3283.3982396292. The cubic root of 10780704 is about 220.9101687144.

The spelling of 10780704 in words is "ten million, seven hundred eighty thousand, seven hundred four".