679758480 has 240 divisors, whose sum is σ = 2404846080. Its totient is φ = 178412544.

The previous prime is 679758467. The next prime is 679758493. The reversal of 679758480 is 84857976.

It is an interprime number because it is at equal distance from previous prime (679758467) and next prime (679758493).

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

It is a super-2 number, since 2×679758480² = 924143182263820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418881 + ... + 1419359.

It is an arithmetic number, because the mean of its divisors is an integer number (10020192).

Almost surely, 2^679758480 is an apocalyptic number.

679758480 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 679758480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202423040).

679758480 is an abundant number, since it is smaller than the sum of its proper divisors (1725087600).

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

679758480 is a wasteful number, since it uses less digits than its factorization.

679758480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 679758480 is about 26072.1782749351. The cubic root of 679758480 is about 879.2618120737.

The spelling of 679758480 in words is "six hundred seventy-nine million, seven hundred fifty-eight thousand, four hundred eighty".