679442400 has 864 divisors, whose sum is σ = 3173421888. Its totient is φ = 132710400.

The previous prime is 679442389. The next prime is 679442419. The reversal of 679442400 is 4244976.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11138370 + ... + 11138430.

It is an arithmetic number, because the mean of its divisors is an integer number (3672942).

Almost surely, 2^679442400 is an apocalyptic number.

679442400 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 679442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586710944).

679442400 is an abundant number, since it is smaller than the sum of its proper divisors (2493979488).

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

679442400 is a wasteful number, since it uses less digits than its factorization.

679442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 679442400 is about 26066.1159362111. The cubic root of 679442400 is about 879.1255086812.

It can be divided in two parts, 6794 and 42400, that added together give a palindrome (49194).

The spelling of 679442400 in words is "six hundred seventy-nine million, four hundred forty-two thousand, four hundred".