10078720 has 80 divisors (see below), whose sum is σ = 25141248. Its totient is φ = 3870720.

The previous prime is 10078711. The next prime is 10078723. The reversal of 10078720 is 2787001.

10078720 = T₁₄₅ + T₁₄₆ + ... + T₃₉₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10078723) 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, 79297 + ... + 79423.

Almost surely, 2^10078720 is an apocalyptic number.

10078720 is a gapful number since it is divisible by the number (10) 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 10078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570624).

10078720 is an abundant number, since it is smaller than the sum of its proper divisors (15062528).

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

10078720 is an equidigital number, since it uses as much as digits as its factorization.

10078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 10078720 is about 3174.6999858254. The cubic root of 10078720 is about 216.0073157102.

The spelling of 10078720 in words is "ten million, seventy-eight thousand, seven hundred twenty".