679958400 has 384 divisors, whose sum is σ = 2513410560. Its totient is φ = 160153600.

The previous prime is 679958347. The next prime is 679958423. The reversal of 679958400 is 4859976.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 679958400.

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, 4963132 + ... + 4963268.

It is an arithmetic number, because the mean of its divisors is an integer number (6545340).

Almost surely, 2^679958400 is an apocalyptic number.

679958400 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 679958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256705280).

679958400 is an abundant number, since it is smaller than the sum of its proper divisors (1833452160).

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

679958400 is a wasteful number, since it uses less digits than its factorization.

679958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 679958400 is about 26076.0119650226. The cubic root of 679958400 is about 879.3480018979.

The spelling of 679958400 in words is "six hundred seventy-nine million, nine hundred fifty-eight thousand, four hundred".