679622400 has 648 divisors, whose sum is σ = 2767739520. Its totient is φ = 164229120.

The previous prime is 679622389. The next prime is 679622407. The reversal of 679622400 is 4226976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679622407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29548789 + ... + 29548811.

Almost surely, 2^679622400 is an apocalyptic number.

679622400 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 679622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383869760).

679622400 is an abundant number, since it is smaller than the sum of its proper divisors (2088117120).

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

679622400 is a wasteful number, since it uses less digits than its factorization.

679622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 679622400 is about 26069.5684659336. The cubic root of 679622400 is about 879.2031353839.

The spelling of 679622400 in words is "six hundred seventy-nine million, six hundred twenty-two thousand, four hundred".