679377120 has 96 divisors (see below), whose sum is σ = 2265949728. Its totient is φ = 170508288.

The previous prime is 679377107. The next prime is 679377143. The reversal of 679377120 is 21773976.

679377120 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33469 + ... + 49788.

It is an arithmetic number, because the mean of its divisors is an integer number (23603643).

Almost surely, 2^679377120 is an apocalyptic number.

679377120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

679377120 is an abundant number, since it is smaller than the sum of its proper divisors (1586572608).

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

679377120 is a wasteful number, since it uses less digits than its factorization.

679377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83292 (or 83284 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 679377120 is about 26064.8637057630. The cubic root of 679377120 is about 879.0973526760.

It can be divided in two parts, 67937 and 7120, that added together give a palindrome (75057).

The spelling of 679377120 in words is "six hundred seventy-nine million, three hundred seventy-seven thousand, one hundred twenty".