10079280 has 60 divisors (see below), whose sum is σ = 33852000. Its totient is φ = 2687616.

The previous prime is 10079273. The next prime is 10079287. The reversal of 10079280 is 8297001.

It is an interprime number because it is at equal distance from previous prime (10079273) and next prime (10079287).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6280 + ... + 7719.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^10079280 is an apocalyptic number.

10079280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10079280 is an abundant number, since it is smaller than the sum of its proper divisors (23772720).

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

10079280 is a wasteful number, since it uses less digits than its factorization.

10079280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14018 (or 14009 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10079280 is about 3174.7881819107. The cubic root of 10079280 is about 216.0113162796.

The spelling of 10079280 in words is "ten million, seventy-nine thousand, two hundred eighty".