679407120 has 240 divisors, whose sum is σ = 2721468672. Its totient is φ = 148515840.

The previous prime is 679407107. The next prime is 679407121. The reversal of 679407120 is 21704976.

It is a happy number.

679407120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (679407121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112990 + ... + 118850.

Almost surely, 2^679407120 is an apocalyptic number.

679407120 is a gapful number since it is divisible by the number (60) 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 679407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360734336).

679407120 is an abundant number, since it is smaller than the sum of its proper divisors (2042061552).

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

679407120 is a wasteful number, since it uses less digits than its factorization.

679407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 679407120 is about 26065.4391867852. The cubic root of 679407120 is about 879.1102922406.

The spelling of 679407120 in words is "six hundred seventy-nine million, four hundred seven thousand, one hundred twenty".