10079760 has 40 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 2687872.

The previous prime is 10079723. The next prime is 10079777. The reversal of 10079760 is 6797001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20760 + ... + 21239.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^10079760 is an apocalyptic number.

10079760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10079760 is an abundant number, since it is smaller than the sum of its proper divisors (21168240).

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

10079760 is a wasteful number, since it uses less digits than its factorization.

10079760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42015 (or 42009 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 10079760 is about 3174.8637766052. The cubic root of 10079760 is about 216.0147452211.

The spelling of 10079760 in words is "ten million, seventy-nine thousand, seven hundred sixty".